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Finding the Third Proportional to 98,471.81 and 108,622.13

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Solution

The third proportional to 98,471.81 and 108,622.13 is: 119,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,471.81 : 108,622.13 = 108,622.13 : x
  2. Step 2: Convert to fraction form
    98,471.81/108,622.13 = 108,622.13/x
  3. Step 3: Cross multiply
    98,471.81x = 108,622.13 × 108,622.13
  4. Step 4: Simplify right side
    98,471.81x = 11,798,766,039.52
  5. Step 5: Solve for x
    x = 11,798,766,039.52/98,471.81
  6. Step 6: Final answer
    x = 119,818.72

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.