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Finding the Third Proportional to 437,670 and 656,937

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Solution

The third proportional to 437,670 and 656,937 is: 986,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,670 : 656,937 = 656,937 : x
  2. Step 2: Convert to fraction form
    437,670/656,937 = 656,937/x
  3. Step 3: Cross multiply
    437,670x = 656,937 × 656,937
  4. Step 4: Simplify right side
    437,670x = 431,566,221,969
  5. Step 5: Solve for x
    x = 431,566,221,969/437,670
  6. Step 6: Final answer
    x = 986,053.93

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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.