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Finding the Third Proportional to 1,347,418,574 and 2,932,100,851.50

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Solution

The third proportional to 1,347,418,574 and 2,932,100,851.50 is: 6,380,508,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,418,574 : 2,932,100,851.50 = 2,932,100,851.50 : x
  2. Step 2: Convert to fraction form
    1,347,418,574/2,932,100,851.50 = 2,932,100,851.50/x
  3. Step 3: Cross multiply
    1,347,418,574x = 2,932,100,851.50 × 2,932,100,851.50
  4. Step 4: Simplify right side
    1,347,418,574x = 8,597,215,403,367,024,640
  5. Step 5: Solve for x
    x = 8,597,215,403,367,024,640/1,347,418,574
  6. Step 6: Final answer
    x = 6,380,508,306.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.