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Finding the Third Proportional to 72,310 and 155,720

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Solution

The third proportional to 72,310 and 155,720 is: 335,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,310 : 155,720 = 155,720 : x
  2. Step 2: Convert to fraction form
    72,310/155,720 = 155,720/x
  3. Step 3: Cross multiply
    72,310x = 155,720 × 155,720
  4. Step 4: Simplify right side
    72,310x = 24,248,718,400
  5. Step 5: Solve for x
    x = 24,248,718,400/72,310
  6. Step 6: Final answer
    x = 335,343.91

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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.