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Finding the Third Proportional to 142,679.63 and 221,233.13

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Solution

The third proportional to 142,679.63 and 221,233.13 is: 343,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,679.63 : 221,233.13 = 221,233.13 : x
  2. Step 2: Convert to fraction form
    142,679.63/221,233.13 = 221,233.13/x
  3. Step 3: Cross multiply
    142,679.63x = 221,233.13 × 221,233.13
  4. Step 4: Simplify right side
    142,679.63x = 48,944,095,597.27
  5. Step 5: Solve for x
    x = 48,944,095,597.27/142,679.63
  6. Step 6: Final answer
    x = 343,034.93

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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.