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Finding the Third Proportional to 137,200,934,520 and 297,195,024,096

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Solution

The third proportional to 137,200,934,520 and 297,195,024,096 is: 643,762,979,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,200,934,520 : 297,195,024,096 = 297,195,024,096 : x
  2. Step 2: Convert to fraction form
    137,200,934,520/297,195,024,096 = 297,195,024,096/x
  3. Step 3: Cross multiply
    137,200,934,520x = 297,195,024,096 × 297,195,024,096
  4. Step 4: Simplify right side
    137,200,934,520x = 88,324,882,347,422,027,612,160
  5. Step 5: Solve for x
    x = 88,324,882,347,422,027,612,160/137,200,934,520
  6. Step 6: Final answer
    x = 643,762,979,140.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.