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Finding the Third Proportional to 423,857,431,280 and 651,499,260,920

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Solution

The third proportional to 423,857,431,280 and 651,499,260,920 is: 1,001,401,074,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,857,431,280 : 651,499,260,920 = 651,499,260,920 : x
  2. Step 2: Convert to fraction form
    423,857,431,280/651,499,260,920 = 651,499,260,920/x
  3. Step 3: Cross multiply
    423,857,431,280x = 651,499,260,920 × 651,499,260,920
  4. Step 4: Simplify right side
    423,857,431,280x = 424,451,286,979,306,231,693,312
  5. Step 5: Solve for x
    x = 424,451,286,979,306,231,693,312/423,857,431,280
  6. Step 6: Final answer
    x = 1,001,401,074,171.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.