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Finding the Third Proportional to 359,798 and 781,802

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Solution

The third proportional to 359,798 and 781,802 is: 1,698,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,798 : 781,802 = 781,802 : x
  2. Step 2: Convert to fraction form
    359,798/781,802 = 781,802/x
  3. Step 3: Cross multiply
    359,798x = 781,802 × 781,802
  4. Step 4: Simplify right side
    359,798x = 611,214,367,204
  5. Step 5: Solve for x
    x = 611,214,367,204/359,798
  6. Step 6: Final answer
    x = 1,698,770.89

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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.