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Finding the Third Proportional to 153,868 and 243,439

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Solution

The third proportional to 153,868 and 243,439 is: 385,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,868 : 243,439 = 243,439 : x
  2. Step 2: Convert to fraction form
    153,868/243,439 = 243,439/x
  3. Step 3: Cross multiply
    153,868x = 243,439 × 243,439
  4. Step 4: Simplify right side
    153,868x = 59,262,546,721
  5. Step 5: Solve for x
    x = 59,262,546,721/153,868
  6. Step 6: Final answer
    x = 385,151.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.