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Finding the Third Proportional to 72,112 and 155,317

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Solution

The third proportional to 72,112 and 155,317 is: 334,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,112 : 155,317 = 155,317 : x
  2. Step 2: Convert to fraction form
    72,112/155,317 = 155,317/x
  3. Step 3: Cross multiply
    72,112x = 155,317 × 155,317
  4. Step 4: Simplify right side
    72,112x = 24,123,370,489
  5. Step 5: Solve for x
    x = 24,123,370,489/72,112
  6. Step 6: Final answer
    x = 334,526.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.