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Finding the Third Proportional to 392,264,752.50 and 861,047,478

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Solution

The third proportional to 392,264,752.50 and 861,047,478 is: 1,890,057,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,264,752.50 : 861,047,478 = 861,047,478 : x
  2. Step 2: Convert to fraction form
    392,264,752.50/861,047,478 = 861,047,478/x
  3. Step 3: Cross multiply
    392,264,752.50x = 861,047,478 × 861,047,478
  4. Step 4: Simplify right side
    392,264,752.50x = 741,402,759,370,160,512
  5. Step 5: Solve for x
    x = 741,402,759,370,160,512/392,264,752.50
  6. Step 6: Final answer
    x = 1,890,057,046.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.