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Finding the Third Proportional to 261,127,128 and 395,049,144

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Solution

The third proportional to 261,127,128 and 395,049,144 is: 597,654,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,127,128 : 395,049,144 = 395,049,144 : x
  2. Step 2: Convert to fraction form
    261,127,128/395,049,144 = 395,049,144/x
  3. Step 3: Cross multiply
    261,127,128x = 395,049,144 × 395,049,144
  4. Step 4: Simplify right side
    261,127,128x = 156,063,826,175,132,736
  5. Step 5: Solve for x
    x = 156,063,826,175,132,736/261,127,128
  6. Step 6: Final answer
    x = 597,654,588.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.