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Finding the Third Proportional to 81,868,512 and 179,118,922

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Solution

The third proportional to 81,868,512 and 179,118,922 is: 391,891,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,868,512 : 179,118,922 = 179,118,922 : x
  2. Step 2: Convert to fraction form
    81,868,512/179,118,922 = 179,118,922/x
  3. Step 3: Cross multiply
    81,868,512x = 179,118,922 × 179,118,922
  4. Step 4: Simplify right side
    81,868,512x = 32,083,588,218,442,084
  5. Step 5: Solve for x
    x = 32,083,588,218,442,084/81,868,512
  6. Step 6: Final answer
    x = 391,891,674.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.