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Finding the Third Proportional to 153,760 and 334,432

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Solution

The third proportional to 153,760 and 334,432 is: 727,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,760 : 334,432 = 334,432 : x
  2. Step 2: Convert to fraction form
    153,760/334,432 = 334,432/x
  3. Step 3: Cross multiply
    153,760x = 334,432 × 334,432
  4. Step 4: Simplify right side
    153,760x = 111,844,762,624
  5. Step 5: Solve for x
    x = 111,844,762,624/153,760
  6. Step 6: Final answer
    x = 727,398.30

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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.