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Finding the Third Proportional to 439,059,778 and 867,015,422

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Solution

The third proportional to 439,059,778 and 867,015,422 is: 1,712,103,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,059,778 : 867,015,422 = 867,015,422 : x
  2. Step 2: Convert to fraction form
    439,059,778/867,015,422 = 867,015,422/x
  3. Step 3: Cross multiply
    439,059,778x = 867,015,422 × 867,015,422
  4. Step 4: Simplify right side
    439,059,778x = 751,715,741,985,838,080
  5. Step 5: Solve for x
    x = 751,715,741,985,838,080/439,059,778
  6. Step 6: Final answer
    x = 1,712,103,407.44

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.