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Finding the Third Proportional to 239,311.13 and 510,301.69

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Solution

The third proportional to 239,311.13 and 510,301.69 is: 1,088,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,311.13 : 510,301.69 = 510,301.69 : x
  2. Step 2: Convert to fraction form
    239,311.13/510,301.69 = 510,301.69/x
  3. Step 3: Cross multiply
    239,311.13x = 510,301.69 × 510,301.69
  4. Step 4: Simplify right side
    239,311.13x = 260,407,812,265.35
  5. Step 5: Solve for x
    x = 260,407,812,265.35/239,311.13
  6. Step 6: Final answer
    x = 1,088,155.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.