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Finding the Third Proportional to 109,352 and 239,128

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Solution

The third proportional to 109,352 and 239,128 is: 522,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,352 : 239,128 = 239,128 : x
  2. Step 2: Convert to fraction form
    109,352/239,128 = 239,128/x
  3. Step 3: Cross multiply
    109,352x = 239,128 × 239,128
  4. Step 4: Simplify right side
    109,352x = 57,182,200,384
  5. Step 5: Solve for x
    x = 57,182,200,384/109,352
  6. Step 6: Final answer
    x = 522,918.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.