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Finding the Third Proportional to 286,554 and 615,394

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Solution

The third proportional to 286,554 and 615,394 is: 1,321,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,554 : 615,394 = 615,394 : x
  2. Step 2: Convert to fraction form
    286,554/615,394 = 615,394/x
  3. Step 3: Cross multiply
    286,554x = 615,394 × 615,394
  4. Step 4: Simplify right side
    286,554x = 378,709,775,236
  5. Step 5: Solve for x
    x = 378,709,775,236/286,554
  6. Step 6: Final answer
    x = 1,321,600.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.