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Finding the Third Proportional to 285,102 and 615,402

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Solution

The third proportional to 285,102 and 615,402 is: 1,328,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,102 : 615,402 = 615,402 : x
  2. Step 2: Convert to fraction form
    285,102/615,402 = 615,402/x
  3. Step 3: Cross multiply
    285,102x = 615,402 × 615,402
  4. Step 4: Simplify right side
    285,102x = 378,719,621,604
  5. Step 5: Solve for x
    x = 378,719,621,604/285,102
  6. Step 6: Final answer
    x = 1,328,365.36

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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.