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Finding the Third Proportional to 330,786 and 724,617

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Solution

The third proportional to 330,786 and 724,617 is: 1,587,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,786 : 724,617 = 724,617 : x
  2. Step 2: Convert to fraction form
    330,786/724,617 = 724,617/x
  3. Step 3: Cross multiply
    330,786x = 724,617 × 724,617
  4. Step 4: Simplify right side
    330,786x = 525,069,796,689
  5. Step 5: Solve for x
    x = 525,069,796,689/330,786
  6. Step 6: Final answer
    x = 1,587,339.84

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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.