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Finding the Third Proportional to 153,387 and 334,665

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Solution

The third proportional to 153,387 and 334,665 is: 730,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,387 : 334,665 = 334,665 : x
  2. Step 2: Convert to fraction form
    153,387/334,665 = 334,665/x
  3. Step 3: Cross multiply
    153,387x = 334,665 × 334,665
  4. Step 4: Simplify right side
    153,387x = 112,000,662,225
  5. Step 5: Solve for x
    x = 112,000,662,225/153,387
  6. Step 6: Final answer
    x = 730,183.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.