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Finding the Third Proportional to 69,070 and 101,330

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Solution

The third proportional to 69,070 and 101,330 is: 148,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,070 : 101,330 = 101,330 : x
  2. Step 2: Convert to fraction form
    69,070/101,330 = 101,330/x
  3. Step 3: Cross multiply
    69,070x = 101,330 × 101,330
  4. Step 4: Simplify right side
    69,070x = 10,267,768,900
  5. Step 5: Solve for x
    x = 10,267,768,900/69,070
  6. Step 6: Final answer
    x = 148,657.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.