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Finding the Third Proportional to 75,421 and 156,061

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Solution

The third proportional to 75,421 and 156,061 is: 322,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,421 : 156,061 = 156,061 : x
  2. Step 2: Convert to fraction form
    75,421/156,061 = 156,061/x
  3. Step 3: Cross multiply
    75,421x = 156,061 × 156,061
  4. Step 4: Simplify right side
    75,421x = 24,355,035,721
  5. Step 5: Solve for x
    x = 24,355,035,721/75,421
  6. Step 6: Final answer
    x = 322,921.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.