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Finding the Third Proportional to 132,561,478,287 and 290,787,541,461

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Solution

The third proportional to 132,561,478,287 and 290,787,541,461 is: 637,873,048,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,561,478,287 : 290,787,541,461 = 290,787,541,461 : x
  2. Step 2: Convert to fraction form
    132,561,478,287/290,787,541,461 = 290,787,541,461/x
  3. Step 3: Cross multiply
    132,561,478,287x = 290,787,541,461 × 290,787,541,461
  4. Step 4: Simplify right side
    132,561,478,287x = 84,557,394,268,932,790,026,240
  5. Step 5: Solve for x
    x = 84,557,394,268,932,790,026,240/132,561,478,287
  6. Step 6: Final answer
    x = 637,873,048,502.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.