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Finding the Third Proportional to 215,708 and 337,642

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Solution

The third proportional to 215,708 and 337,642 is: 528,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,708 : 337,642 = 337,642 : x
  2. Step 2: Convert to fraction form
    215,708/337,642 = 337,642/x
  3. Step 3: Cross multiply
    215,708x = 337,642 × 337,642
  4. Step 4: Simplify right side
    215,708x = 114,002,120,164
  5. Step 5: Solve for x
    x = 114,002,120,164/215,708
  6. Step 6: Final answer
    x = 528,502.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.