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Finding the Third Proportional to 69,031 and 148,937

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Solution

The third proportional to 69,031 and 148,937 is: 321,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,031 : 148,937 = 148,937 : x
  2. Step 2: Convert to fraction form
    69,031/148,937 = 148,937/x
  3. Step 3: Cross multiply
    69,031x = 148,937 × 148,937
  4. Step 4: Simplify right side
    69,031x = 22,182,229,969
  5. Step 5: Solve for x
    x = 22,182,229,969/69,031
  6. Step 6: Final answer
    x = 321,337.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.