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Finding the Third Proportional to 100,774.13 and 152,463.94

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Solution

The third proportional to 100,774.13 and 152,463.94 is: 230,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,774.13 : 152,463.94 = 152,463.94 : x
  2. Step 2: Convert to fraction form
    100,774.13/152,463.94 = 152,463.94/x
  3. Step 3: Cross multiply
    100,774.13x = 152,463.94 × 152,463.94
  4. Step 4: Simplify right side
    100,774.13x = 23,245,252,238.00
  5. Step 5: Solve for x
    x = 23,245,252,238.00/100,774.13
  6. Step 6: Final answer
    x = 230,666.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.