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Finding the Third Proportional to 31,296,690 and 67,221,069

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Solution

The third proportional to 31,296,690 and 67,221,069 is: 144,381,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296,690 : 67,221,069 = 67,221,069 : x
  2. Step 2: Convert to fraction form
    31,296,690/67,221,069 = 67,221,069/x
  3. Step 3: Cross multiply
    31,296,690x = 67,221,069 × 67,221,069
  4. Step 4: Simplify right side
    31,296,690x = 4,518,672,117,502,761
  5. Step 5: Solve for x
    x = 4,518,672,117,502,761/31,296,690
  6. Step 6: Final answer
    x = 144,381,789.82

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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.