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Finding the Third Proportional to 153,920 and 240,600

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Solution

The third proportional to 153,920 and 240,600 is: 376,093.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,920 : 240,600 = 240,600 : x
  2. Step 2: Convert to fraction form
    153,920/240,600 = 240,600/x
  3. Step 3: Cross multiply
    153,920x = 240,600 × 240,600
  4. Step 4: Simplify right side
    153,920x = 57,888,360,000
  5. Step 5: Solve for x
    x = 57,888,360,000/153,920
  6. Step 6: Final answer
    x = 376,093.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.