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Finding the Third Proportional to 130,424 and 207,309

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Solution

The third proportional to 130,424 and 207,309 is: 329,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,424 : 207,309 = 207,309 : x
  2. Step 2: Convert to fraction form
    130,424/207,309 = 207,309/x
  3. Step 3: Cross multiply
    130,424x = 207,309 × 207,309
  4. Step 4: Simplify right side
    130,424x = 42,977,021,481
  5. Step 5: Solve for x
    x = 42,977,021,481/130,424
  6. Step 6: Final answer
    x = 329,517.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.