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Finding the Third Proportional to 142,646.63 and 220,755.38

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Solution

The third proportional to 142,646.63 and 220,755.38 is: 341,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,646.63 : 220,755.38 = 220,755.38 : x
  2. Step 2: Convert to fraction form
    142,646.63/220,755.38 = 220,755.38/x
  3. Step 3: Cross multiply
    142,646.63x = 220,755.38 × 220,755.38
  4. Step 4: Simplify right side
    142,646.63x = 48,732,935,591.39
  5. Step 5: Solve for x
    x = 48,732,935,591.39/142,646.63
  6. Step 6: Final answer
    x = 341,633.99

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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.