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Finding the Third Proportional to 31,749,984 and 67,315,077

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Solution

The third proportional to 31,749,984 and 67,315,077 is: 142,718,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,749,984 : 67,315,077 = 67,315,077 : x
  2. Step 2: Convert to fraction form
    31,749,984/67,315,077 = 67,315,077/x
  3. Step 3: Cross multiply
    31,749,984x = 67,315,077 × 67,315,077
  4. Step 4: Simplify right side
    31,749,984x = 4,531,319,591,515,929
  5. Step 5: Solve for x
    x = 4,531,319,591,515,929/31,749,984
  6. Step 6: Final answer
    x = 142,718,799.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.