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Finding the Third Proportional to 239,707 and 521,237

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Solution

The third proportional to 239,707 and 521,237 is: 1,133,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,707 : 521,237 = 521,237 : x
  2. Step 2: Convert to fraction form
    239,707/521,237 = 521,237/x
  3. Step 3: Cross multiply
    239,707x = 521,237 × 521,237
  4. Step 4: Simplify right side
    239,707x = 271,688,010,169
  5. Step 5: Solve for x
    x = 271,688,010,169/239,707
  6. Step 6: Final answer
    x = 1,133,417.09

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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.