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Finding the Third Proportional to 130,288 and 207,088

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Solution

The third proportional to 130,288 and 207,088 is: 329,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,288 : 207,088 = 207,088 : x
  2. Step 2: Convert to fraction form
    130,288/207,088 = 207,088/x
  3. Step 3: Cross multiply
    130,288x = 207,088 × 207,088
  4. Step 4: Simplify right side
    130,288x = 42,885,439,744
  5. Step 5: Solve for x
    x = 42,885,439,744/130,288
  6. Step 6: Final answer
    x = 329,158.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.