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Finding the Third Proportional to 436,080 and 656,280

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Solution

The third proportional to 436,080 and 656,280 is: 987,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,080 : 656,280 = 656,280 : x
  2. Step 2: Convert to fraction form
    436,080/656,280 = 656,280/x
  3. Step 3: Cross multiply
    436,080x = 656,280 × 656,280
  4. Step 4: Simplify right side
    436,080x = 430,703,438,400
  5. Step 5: Solve for x
    x = 430,703,438,400/436,080
  6. Step 6: Final answer
    x = 987,670.70

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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.