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Finding the Third Proportional to 132,561,478,152 and 290,787,541,244

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Solution

The third proportional to 132,561,478,152 and 290,787,541,244 is: 637,873,048,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,561,478,152 : 290,787,541,244 = 290,787,541,244 : x
  2. Step 2: Convert to fraction form
    132,561,478,152/290,787,541,244 = 290,787,541,244/x
  3. Step 3: Cross multiply
    132,561,478,152x = 290,787,541,244 × 290,787,541,244
  4. Step 4: Simplify right side
    132,561,478,152x = 84,557,394,142,730,997,727,232
  5. Step 5: Solve for x
    x = 84,557,394,142,730,997,727,232/132,561,478,152
  6. Step 6: Final answer
    x = 637,873,048,200.13

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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.