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Finding the Third Proportional to 106,806,732 and 219,275,610

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Solution

The third proportional to 106,806,732 and 219,275,610 is: 450,175,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806,732 : 219,275,610 = 219,275,610 : x
  2. Step 2: Convert to fraction form
    106,806,732/219,275,610 = 219,275,610/x
  3. Step 3: Cross multiply
    106,806,732x = 219,275,610 × 219,275,610
  4. Step 4: Simplify right side
    106,806,732x = 48,081,793,140,872,096
  5. Step 5: Solve for x
    x = 48,081,793,140,872,096/106,806,732
  6. Step 6: Final answer
    x = 450,175,679.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.