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Finding the Third Proportional to 385,591 and 615,749

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Solution

The third proportional to 385,591 and 615,749 is: 983,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,591 : 615,749 = 615,749 : x
  2. Step 2: Convert to fraction form
    385,591/615,749 = 615,749/x
  3. Step 3: Cross multiply
    385,591x = 615,749 × 615,749
  4. Step 4: Simplify right side
    385,591x = 379,146,831,001
  5. Step 5: Solve for x
    x = 379,146,831,001/385,591
  6. Step 6: Final answer
    x = 983,287.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.