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Finding the Third Proportional to 77,098.50 and 112,366.13

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Solution

The third proportional to 77,098.50 and 112,366.13 is: 163,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,098.50 : 112,366.13 = 112,366.13 : x
  2. Step 2: Convert to fraction form
    77,098.50/112,366.13 = 112,366.13/x
  3. Step 3: Cross multiply
    77,098.50x = 112,366.13 × 112,366.13
  4. Step 4: Simplify right side
    77,098.50x = 12,626,146,047.52
  5. Step 5: Solve for x
    x = 12,626,146,047.52/77,098.50
  6. Step 6: Final answer
    x = 163,766.43

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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.