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Finding the Third Proportional to 431,571 and 653,353

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Solution

The third proportional to 431,571 and 653,353 is: 989,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,571 : 653,353 = 653,353 : x
  2. Step 2: Convert to fraction form
    431,571/653,353 = 653,353/x
  3. Step 3: Cross multiply
    431,571x = 653,353 × 653,353
  4. Step 4: Simplify right side
    431,571x = 426,870,142,609
  5. Step 5: Solve for x
    x = 426,870,142,609/431,571
  6. Step 6: Final answer
    x = 989,107.57

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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.