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Finding the Third Proportional to 436,629 and 656,565

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Solution

The third proportional to 436,629 and 656,565 is: 987,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,629 : 656,565 = 656,565 : x
  2. Step 2: Convert to fraction form
    436,629/656,565 = 656,565/x
  3. Step 3: Cross multiply
    436,629x = 656,565 × 656,565
  4. Step 4: Simplify right side
    436,629x = 431,077,599,225
  5. Step 5: Solve for x
    x = 431,077,599,225/436,629
  6. Step 6: Final answer
    x = 987,285.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.