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Finding the Third Proportional to 145,844.50 and 218,769

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Solution

The third proportional to 145,844.50 and 218,769 is: 328,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,844.50 : 218,769 = 218,769 : x
  2. Step 2: Convert to fraction form
    145,844.50/218,769 = 218,769/x
  3. Step 3: Cross multiply
    145,844.50x = 218,769 × 218,769
  4. Step 4: Simplify right side
    145,844.50x = 47,859,875,361
  5. Step 5: Solve for x
    x = 47,859,875,361/145,844.50
  6. Step 6: Final answer
    x = 328,156.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.