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Finding the Third Proportional to 55,659 and 81,490.50

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Solution

The third proportional to 55,659 and 81,490.50 is: 119,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,659 : 81,490.50 = 81,490.50 : x
  2. Step 2: Convert to fraction form
    55,659/81,490.50 = 81,490.50/x
  3. Step 3: Cross multiply
    55,659x = 81,490.50 × 81,490.50
  4. Step 4: Simplify right side
    55,659x = 6,640,701,590.25
  5. Step 5: Solve for x
    x = 6,640,701,590.25/55,659
  6. Step 6: Final answer
    x = 119,310.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.