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Finding the Third Proportional to 239,712 and 521,246

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Solution

The third proportional to 239,712 and 521,246 is: 1,133,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,712 : 521,246 = 521,246 : x
  2. Step 2: Convert to fraction form
    239,712/521,246 = 521,246/x
  3. Step 3: Cross multiply
    239,712x = 521,246 × 521,246
  4. Step 4: Simplify right side
    239,712x = 271,697,392,516
  5. Step 5: Solve for x
    x = 271,697,392,516/239,712
  6. Step 6: Final answer
    x = 1,133,432.59

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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.