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Finding the Third Proportional to 330,420 and 724,164

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Solution

The third proportional to 330,420 and 724,164 is: 1,587,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,420 : 724,164 = 724,164 : x
  2. Step 2: Convert to fraction form
    330,420/724,164 = 724,164/x
  3. Step 3: Cross multiply
    330,420x = 724,164 × 724,164
  4. Step 4: Simplify right side
    330,420x = 524,413,498,896
  5. Step 5: Solve for x
    x = 524,413,498,896/330,420
  6. Step 6: Final answer
    x = 1,587,111.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.