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Finding the Third Proportional to 153,543 and 330,408

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Solution

The third proportional to 153,543 and 330,408 is: 711,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,543 : 330,408 = 330,408 : x
  2. Step 2: Convert to fraction form
    153,543/330,408 = 330,408/x
  3. Step 3: Cross multiply
    153,543x = 330,408 × 330,408
  4. Step 4: Simplify right side
    153,543x = 109,169,446,464
  5. Step 5: Solve for x
    x = 109,169,446,464/153,543
  6. Step 6: Final answer
    x = 711,002.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.