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Finding the Third Proportional to 142,678.13 and 221,230.88

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Solution

The third proportional to 142,678.13 and 221,230.88 is: 343,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,678.13 : 221,230.88 = 221,230.88 : x
  2. Step 2: Convert to fraction form
    142,678.13/221,230.88 = 221,230.88/x
  3. Step 3: Cross multiply
    142,678.13x = 221,230.88 × 221,230.88
  4. Step 4: Simplify right side
    142,678.13x = 48,943,100,053.27
  5. Step 5: Solve for x
    x = 48,943,100,053.27/142,678.13
  6. Step 6: Final answer
    x = 343,031.56

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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.