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Finding the Third Proportional to 479,822 and 717,090

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Solution

The third proportional to 479,822 and 717,090 is: 1,071,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,822 : 717,090 = 717,090 : x
  2. Step 2: Convert to fraction form
    479,822/717,090 = 717,090/x
  3. Step 3: Cross multiply
    479,822x = 717,090 × 717,090
  4. Step 4: Simplify right side
    479,822x = 514,218,068,100
  5. Step 5: Solve for x
    x = 514,218,068,100/479,822
  6. Step 6: Final answer
    x = 1,071,685.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.