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Finding the Third Proportional to 418,142 and 637,047

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Solution

The third proportional to 418,142 and 637,047 is: 970,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,142 : 637,047 = 637,047 : x
  2. Step 2: Convert to fraction form
    418,142/637,047 = 637,047/x
  3. Step 3: Cross multiply
    418,142x = 637,047 × 637,047
  4. Step 4: Simplify right side
    418,142x = 405,828,880,209
  5. Step 5: Solve for x
    x = 405,828,880,209/418,142
  6. Step 6: Final answer
    x = 970,552.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.