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Finding the Third Proportional to 65,989.69 and 102,151.13

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Solution

The third proportional to 65,989.69 and 102,151.13 is: 158,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,989.69 : 102,151.13 = 102,151.13 : x
  2. Step 2: Convert to fraction form
    65,989.69/102,151.13 = 102,151.13/x
  3. Step 3: Cross multiply
    65,989.69x = 102,151.13 × 102,151.13
  4. Step 4: Simplify right side
    65,989.69x = 10,434,852,338.77
  5. Step 5: Solve for x
    x = 10,434,852,338.77/65,989.69
  6. Step 6: Final answer
    x = 158,128.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.