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Finding the Third Proportional to 431,416 and 653,156

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Solution

The third proportional to 431,416 and 653,156 is: 988,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,416 : 653,156 = 653,156 : x
  2. Step 2: Convert to fraction form
    431,416/653,156 = 653,156/x
  3. Step 3: Cross multiply
    431,416x = 653,156 × 653,156
  4. Step 4: Simplify right side
    431,416x = 426,612,760,336
  5. Step 5: Solve for x
    x = 426,612,760,336/431,416
  6. Step 6: Final answer
    x = 988,866.34

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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.