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Finding the Third Proportional to 544,766,442.75 and 764,415,160.88

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Solution

The third proportional to 544,766,442.75 and 764,415,160.88 is: 1,072,625,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,766,442.75 : 764,415,160.88 = 764,415,160.88 : x
  2. Step 2: Convert to fraction form
    544,766,442.75/764,415,160.88 = 764,415,160.88/x
  3. Step 3: Cross multiply
    544,766,442.75x = 764,415,160.88 × 764,415,160.88
  4. Step 4: Simplify right side
    544,766,442.75x = 584,330,538,175,552,128
  5. Step 5: Solve for x
    x = 584,330,538,175,552,128/544,766,442.75
  6. Step 6: Final answer
    x = 1,072,625,793.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.