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Finding the Third Proportional to 128,170,281 and 275,450,296.50

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Solution

The third proportional to 128,170,281 and 275,450,296.50 is: 591,969,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,170,281 : 275,450,296.50 = 275,450,296.50 : x
  2. Step 2: Convert to fraction form
    128,170,281/275,450,296.50 = 275,450,296.50/x
  3. Step 3: Cross multiply
    128,170,281x = 275,450,296.50 × 275,450,296.50
  4. Step 4: Simplify right side
    128,170,281x = 75,872,865,841,937,920
  5. Step 5: Solve for x
    x = 75,872,865,841,937,920/128,170,281
  6. Step 6: Final answer
    x = 591,969,255.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.