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Finding the Third Proportional to 343,626 and 710,822

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Solution

The third proportional to 343,626 and 710,822 is: 1,470,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,626 : 710,822 = 710,822 : x
  2. Step 2: Convert to fraction form
    343,626/710,822 = 710,822/x
  3. Step 3: Cross multiply
    343,626x = 710,822 × 710,822
  4. Step 4: Simplify right side
    343,626x = 505,267,915,684
  5. Step 5: Solve for x
    x = 505,267,915,684/343,626
  6. Step 6: Final answer
    x = 1,470,400.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.