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Finding the Third Proportional to 115,999 and 176,428

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Solution

The third proportional to 115,999 and 176,428 is: 268,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,999 : 176,428 = 176,428 : x
  2. Step 2: Convert to fraction form
    115,999/176,428 = 176,428/x
  3. Step 3: Cross multiply
    115,999x = 176,428 × 176,428
  4. Step 4: Simplify right side
    115,999x = 31,126,839,184
  5. Step 5: Solve for x
    x = 31,126,839,184/115,999
  6. Step 6: Final answer
    x = 268,337.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.