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Finding the Third Proportional to 243,459 and 527,998.50

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Solution

The third proportional to 243,459 and 527,998.50 is: 1,145,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,459 : 527,998.50 = 527,998.50 : x
  2. Step 2: Convert to fraction form
    243,459/527,998.50 = 527,998.50/x
  3. Step 3: Cross multiply
    243,459x = 527,998.50 × 527,998.50
  4. Step 4: Simplify right side
    243,459x = 278,782,416,002.25
  5. Step 5: Solve for x
    x = 278,782,416,002.25/243,459
  6. Step 6: Final answer
    x = 1,145,089.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.