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Finding the Third Proportional to 132,561,478,348 and 290,787,541,580

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Solution

The third proportional to 132,561,478,348 and 290,787,541,580 is: 637,873,048,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,561,478,348 : 290,787,541,580 = 290,787,541,580 : x
  2. Step 2: Convert to fraction form
    132,561,478,348/290,787,541,580 = 290,787,541,580/x
  3. Step 3: Cross multiply
    132,561,478,348x = 290,787,541,580 × 290,787,541,580
  4. Step 4: Simplify right side
    132,561,478,348x = 84,557,394,338,140,232,089,600
  5. Step 5: Solve for x
    x = 84,557,394,338,140,232,089,600/132,561,478,348
  6. Step 6: Final answer
    x = 637,873,048,731.10

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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.