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Finding the Third Proportional to 435,776 and 656,256

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Solution

The third proportional to 435,776 and 656,256 is: 988,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,776 : 656,256 = 656,256 : x
  2. Step 2: Convert to fraction form
    435,776/656,256 = 656,256/x
  3. Step 3: Cross multiply
    435,776x = 656,256 × 656,256
  4. Step 4: Simplify right side
    435,776x = 430,671,937,536
  5. Step 5: Solve for x
    x = 430,671,937,536/435,776
  6. Step 6: Final answer
    x = 988,287.42

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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.