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Finding the Third Proportional to 89,431 and 125,345

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Solution

The third proportional to 89,431 and 125,345 is: 175,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,431 : 125,345 = 125,345 : x
  2. Step 2: Convert to fraction form
    89,431/125,345 = 125,345/x
  3. Step 3: Cross multiply
    89,431x = 125,345 × 125,345
  4. Step 4: Simplify right side
    89,431x = 15,711,369,025
  5. Step 5: Solve for x
    x = 15,711,369,025/89,431
  6. Step 6: Final answer
    x = 175,681.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.