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Finding the Third Proportional to 128,309 and 172,780

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Solution

The third proportional to 128,309 and 172,780 is: 232,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,309 : 172,780 = 172,780 : x
  2. Step 2: Convert to fraction form
    128,309/172,780 = 172,780/x
  3. Step 3: Cross multiply
    128,309x = 172,780 × 172,780
  4. Step 4: Simplify right side
    128,309x = 29,852,928,400
  5. Step 5: Solve for x
    x = 29,852,928,400/128,309
  6. Step 6: Final answer
    x = 232,664.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.