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Finding the Third Proportional to 81,447,920 and 175,648,336

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Solution

The third proportional to 81,447,920 and 175,648,336 is: 378,798,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,447,920 : 175,648,336 = 175,648,336 : x
  2. Step 2: Convert to fraction form
    81,447,920/175,648,336 = 175,648,336/x
  3. Step 3: Cross multiply
    81,447,920x = 175,648,336 × 175,648,336
  4. Step 4: Simplify right side
    81,447,920x = 30,852,337,939,568,896
  5. Step 5: Solve for x
    x = 30,852,337,939,568,896/81,447,920
  6. Step 6: Final answer
    x = 378,798,352.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.