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Finding the Third Proportional to 861,867,720 and 1,337,263,288

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Solution

The third proportional to 861,867,720 and 1,337,263,288 is: 2,074,881,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,867,720 : 1,337,263,288 = 1,337,263,288 : x
  2. Step 2: Convert to fraction form
    861,867,720/1,337,263,288 = 1,337,263,288/x
  3. Step 3: Cross multiply
    861,867,720x = 1,337,263,288 × 1,337,263,288
  4. Step 4: Simplify right side
    861,867,720x = 1,788,273,101,432,570,880
  5. Step 5: Solve for x
    x = 1,788,273,101,432,570,880/861,867,720
  6. Step 6: Final answer
    x = 2,074,881,167.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.