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Finding the Third Proportional to 81,172 and 121,428

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Solution

The third proportional to 81,172 and 121,428 is: 181,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,172 : 121,428 = 121,428 : x
  2. Step 2: Convert to fraction form
    81,172/121,428 = 121,428/x
  3. Step 3: Cross multiply
    81,172x = 121,428 × 121,428
  4. Step 4: Simplify right side
    81,172x = 14,744,759,184
  5. Step 5: Solve for x
    x = 14,744,759,184/81,172
  6. Step 6: Final answer
    x = 181,648.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.