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Finding the Third Proportional to 81,815 and 120,028

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Solution

The third proportional to 81,815 and 120,028 is: 176,088.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,815 : 120,028 = 120,028 : x
  2. Step 2: Convert to fraction form
    81,815/120,028 = 120,028/x
  3. Step 3: Cross multiply
    81,815x = 120,028 × 120,028
  4. Step 4: Simplify right side
    81,815x = 14,406,720,784
  5. Step 5: Solve for x
    x = 14,406,720,784/81,815
  6. Step 6: Final answer
    x = 176,088.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.