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Finding the Third Proportional to 386,579 and 799,674

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Solution

The third proportional to 386,579 and 799,674 is: 1,654,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,579 : 799,674 = 799,674 : x
  2. Step 2: Convert to fraction form
    386,579/799,674 = 799,674/x
  3. Step 3: Cross multiply
    386,579x = 799,674 × 799,674
  4. Step 4: Simplify right side
    386,579x = 639,478,506,276
  5. Step 5: Solve for x
    x = 639,478,506,276/386,579
  6. Step 6: Final answer
    x = 1,654,198.77

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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.