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Finding the Third Proportional to 67,422,291 and 145,077,278.25

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Solution

The third proportional to 67,422,291 and 145,077,278.25 is: 312,172,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,422,291 : 145,077,278.25 = 145,077,278.25 : x
  2. Step 2: Convert to fraction form
    67,422,291/145,077,278.25 = 145,077,278.25/x
  3. Step 3: Cross multiply
    67,422,291x = 145,077,278.25 × 145,077,278.25
  4. Step 4: Simplify right side
    67,422,291x = 21,047,416,664,427,924
  5. Step 5: Solve for x
    x = 21,047,416,664,427,924/67,422,291
  6. Step 6: Final answer
    x = 312,172,967.61

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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.