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Finding the Third Proportional to 436,090 and 656,295

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Solution

The third proportional to 436,090 and 656,295 is: 987,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,090 : 656,295 = 656,295 : x
  2. Step 2: Convert to fraction form
    436,090/656,295 = 656,295/x
  3. Step 3: Cross multiply
    436,090x = 656,295 × 656,295
  4. Step 4: Simplify right side
    436,090x = 430,723,127,025
  5. Step 5: Solve for x
    x = 430,723,127,025/436,090
  6. Step 6: Final answer
    x = 987,693.20

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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.