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Finding the Third Proportional to 242,902.13 and 530,020.13

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Solution

The third proportional to 242,902.13 and 530,020.13 is: 1,156,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,902.13 : 530,020.13 = 530,020.13 : x
  2. Step 2: Convert to fraction form
    242,902.13/530,020.13 = 530,020.13/x
  3. Step 3: Cross multiply
    242,902.13x = 530,020.13 × 530,020.13
  4. Step 4: Simplify right side
    242,902.13x = 280,921,332,905.02
  5. Step 5: Solve for x
    x = 280,921,332,905.02/242,902.13
  6. Step 6: Final answer
    x = 1,156,520.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.