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Finding the Third Proportional to 180,017,397 and 392,743,132.88

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Solution

The third proportional to 180,017,397 and 392,743,132.88 is: 856,845,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,017,397 : 392,743,132.88 = 392,743,132.88 : x
  2. Step 2: Convert to fraction form
    180,017,397/392,743,132.88 = 392,743,132.88/x
  3. Step 3: Cross multiply
    180,017,397x = 392,743,132.88 × 392,743,132.88
  4. Step 4: Simplify right side
    180,017,397x = 154,247,168,420,469,920
  5. Step 5: Solve for x
    x = 154,247,168,420,469,920/180,017,397
  6. Step 6: Final answer
    x = 856,845,899.29

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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.