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Finding the Third Proportional to 359,568 and 781,869

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Solution

The third proportional to 359,568 and 781,869 is: 1,700,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,568 : 781,869 = 781,869 : x
  2. Step 2: Convert to fraction form
    359,568/781,869 = 781,869/x
  3. Step 3: Cross multiply
    359,568x = 781,869 × 781,869
  4. Step 4: Simplify right side
    359,568x = 611,319,133,161
  5. Step 5: Solve for x
    x = 611,319,133,161/359,568
  6. Step 6: Final answer
    x = 1,700,148.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.