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Finding the Third Proportional to 285,076 and 615,824

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Solution

The third proportional to 285,076 and 615,824 is: 1,330,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,076 : 615,824 = 615,824 : x
  2. Step 2: Convert to fraction form
    285,076/615,824 = 615,824/x
  3. Step 3: Cross multiply
    285,076x = 615,824 × 615,824
  4. Step 4: Simplify right side
    285,076x = 379,239,198,976
  5. Step 5: Solve for x
    x = 379,239,198,976/285,076
  6. Step 6: Final answer
    x = 1,330,309.11

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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.