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Finding the Third Proportional to 422,794,155 and 646,827,717

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Solution

The third proportional to 422,794,155 and 646,827,717 is: 989,573,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,794,155 : 646,827,717 = 646,827,717 : x
  2. Step 2: Convert to fraction form
    422,794,155/646,827,717 = 646,827,717/x
  3. Step 3: Cross multiply
    422,794,155x = 646,827,717 × 646,827,717
  4. Step 4: Simplify right side
    422,794,155x = 418,386,095,479,432,064
  5. Step 5: Solve for x
    x = 418,386,095,479,432,064/422,794,155
  6. Step 6: Final answer
    x = 989,573,981.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.