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Finding the Third Proportional to 153,336 and 232,770

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Solution

The third proportional to 153,336 and 232,770 is: 353,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,336 : 232,770 = 232,770 : x
  2. Step 2: Convert to fraction form
    153,336/232,770 = 232,770/x
  3. Step 3: Cross multiply
    153,336x = 232,770 × 232,770
  4. Step 4: Simplify right side
    153,336x = 54,181,872,900
  5. Step 5: Solve for x
    x = 54,181,872,900/153,336
  6. Step 6: Final answer
    x = 353,353.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.