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Finding the Third Proportional to 435,731 and 627,581

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Solution

The third proportional to 435,731 and 627,581 is: 903,901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,731 : 627,581 = 627,581 : x
  2. Step 2: Convert to fraction form
    435,731/627,581 = 627,581/x
  3. Step 3: Cross multiply
    435,731x = 627,581 × 627,581
  4. Step 4: Simplify right side
    435,731x = 393,857,911,561
  5. Step 5: Solve for x
    x = 393,857,911,561/435,731
  6. Step 6: Final answer
    x = 903,901.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.