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Finding the Third Proportional to 353,110 and 724,822

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Solution

The third proportional to 353,110 and 724,822 is: 1,487,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,110 : 724,822 = 724,822 : x
  2. Step 2: Convert to fraction form
    353,110/724,822 = 724,822/x
  3. Step 3: Cross multiply
    353,110x = 724,822 × 724,822
  4. Step 4: Simplify right side
    353,110x = 525,366,931,684
  5. Step 5: Solve for x
    x = 525,366,931,684/353,110
  6. Step 6: Final answer
    x = 1,487,827.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.