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Finding the Third Proportional to 231,909.50 and 330,746

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Solution

The third proportional to 231,909.50 and 330,746 is: 471,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,909.50 : 330,746 = 330,746 : x
  2. Step 2: Convert to fraction form
    231,909.50/330,746 = 330,746/x
  3. Step 3: Cross multiply
    231,909.50x = 330,746 × 330,746
  4. Step 4: Simplify right side
    231,909.50x = 109,392,916,516
  5. Step 5: Solve for x
    x = 109,392,916,516/231,909.50
  6. Step 6: Final answer
    x = 471,705.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.