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Finding the Third Proportional to 431,694 and 653,562

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Solution

The third proportional to 431,694 and 653,562 is: 989,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,694 : 653,562 = 653,562 : x
  2. Step 2: Convert to fraction form
    431,694/653,562 = 653,562/x
  3. Step 3: Cross multiply
    431,694x = 653,562 × 653,562
  4. Step 4: Simplify right side
    431,694x = 427,143,287,844
  5. Step 5: Solve for x
    x = 427,143,287,844/431,694
  6. Step 6: Final answer
    x = 989,458.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.