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Finding the Third Proportional to 56,949 and 87,654

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Solution

The third proportional to 56,949 and 87,654 is: 134,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,949 : 87,654 = 87,654 : x
  2. Step 2: Convert to fraction form
    56,949/87,654 = 87,654/x
  3. Step 3: Cross multiply
    56,949x = 87,654 × 87,654
  4. Step 4: Simplify right side
    56,949x = 7,683,223,716
  5. Step 5: Solve for x
    x = 7,683,223,716/56,949
  6. Step 6: Final answer
    x = 134,914.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.