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Finding the Third Proportional to 134,206,342,748 and 208,380,932,220

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Solution

The third proportional to 134,206,342,748 and 208,380,932,220 is: 323,551,123,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,206,342,748 : 208,380,932,220 = 208,380,932,220 : x
  2. Step 2: Convert to fraction form
    134,206,342,748/208,380,932,220 = 208,380,932,220/x
  3. Step 3: Cross multiply
    134,206,342,748x = 208,380,932,220 × 208,380,932,220
  4. Step 4: Simplify right side
    134,206,342,748x = 43,422,612,912,876,235,522,048
  5. Step 5: Solve for x
    x = 43,422,612,912,876,235,522,048/134,206,342,748
  6. Step 6: Final answer
    x = 323,551,123,022.64

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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.