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Finding the Third Proportional to 207,842 and 315,042

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Solution

The third proportional to 207,842 and 315,042 is: 477,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,842 : 315,042 = 315,042 : x
  2. Step 2: Convert to fraction form
    207,842/315,042 = 315,042/x
  3. Step 3: Cross multiply
    207,842x = 315,042 × 315,042
  4. Step 4: Simplify right side
    207,842x = 99,251,461,764
  5. Step 5: Solve for x
    x = 99,251,461,764/207,842
  6. Step 6: Final answer
    x = 477,533.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.