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Finding the Third Proportional to 378,329,481.50 and 532,539,120

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Solution

The third proportional to 378,329,481.50 and 532,539,120 is: 749,605,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,329,481.50 : 532,539,120 = 532,539,120 : x
  2. Step 2: Convert to fraction form
    378,329,481.50/532,539,120 = 532,539,120/x
  3. Step 3: Cross multiply
    378,329,481.50x = 532,539,120 × 532,539,120
  4. Step 4: Simplify right side
    378,329,481.50x = 283,597,914,330,374,400
  5. Step 5: Solve for x
    x = 283,597,914,330,374,400/378,329,481.50
  6. Step 6: Final answer
    x = 749,605,643.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.