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Finding the Third Proportional to 424,390 and 613,742

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Solution

The third proportional to 424,390 and 613,742 is: 887,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,390 : 613,742 = 613,742 : x
  2. Step 2: Convert to fraction form
    424,390/613,742 = 613,742/x
  3. Step 3: Cross multiply
    424,390x = 613,742 × 613,742
  4. Step 4: Simplify right side
    424,390x = 376,679,242,564
  5. Step 5: Solve for x
    x = 376,679,242,564/424,390
  6. Step 6: Final answer
    x = 887,578.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.