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Finding the Third Proportional to 76,475 and 154,446

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Solution

The third proportional to 76,475 and 154,446 is: 311,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,475 : 154,446 = 154,446 : x
  2. Step 2: Convert to fraction form
    76,475/154,446 = 154,446/x
  3. Step 3: Cross multiply
    76,475x = 154,446 × 154,446
  4. Step 4: Simplify right side
    76,475x = 23,853,566,916
  5. Step 5: Solve for x
    x = 23,853,566,916/76,475
  6. Step 6: Final answer
    x = 311,913.26

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.