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Finding the Third Proportional to 100,143 and 154,630.13

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Solution

The third proportional to 100,143 and 154,630.13 is: 238,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,143 : 154,630.13 = 154,630.13 : x
  2. Step 2: Convert to fraction form
    100,143/154,630.13 = 154,630.13/x
  3. Step 3: Cross multiply
    100,143x = 154,630.13 × 154,630.13
  4. Step 4: Simplify right side
    100,143x = 23,910,475,557.52
  5. Step 5: Solve for x
    x = 23,910,475,557.52/100,143
  6. Step 6: Final answer
    x = 238,763.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.