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Finding the Third Proportional to 330,408 and 724,140

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Solution

The third proportional to 330,408 and 724,140 is: 1,587,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,408 : 724,140 = 724,140 : x
  2. Step 2: Convert to fraction form
    330,408/724,140 = 724,140/x
  3. Step 3: Cross multiply
    330,408x = 724,140 × 724,140
  4. Step 4: Simplify right side
    330,408x = 524,378,739,600
  5. Step 5: Solve for x
    x = 524,378,739,600/330,408
  6. Step 6: Final answer
    x = 1,587,064.30

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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.