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Finding the Third Proportional to 142,073 and 219,442

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Solution

The third proportional to 142,073 and 219,442 is: 338,944.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,073 : 219,442 = 219,442 : x
  2. Step 2: Convert to fraction form
    142,073/219,442 = 219,442/x
  3. Step 3: Cross multiply
    142,073x = 219,442 × 219,442
  4. Step 4: Simplify right side
    142,073x = 48,154,791,364
  5. Step 5: Solve for x
    x = 48,154,791,364/142,073
  6. Step 6: Final answer
    x = 338,944.00

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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.