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Finding the Third Proportional to 285,063 and 615,774

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Solution

The third proportional to 285,063 and 615,774 is: 1,330,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,063 : 615,774 = 615,774 : x
  2. Step 2: Convert to fraction form
    285,063/615,774 = 615,774/x
  3. Step 3: Cross multiply
    285,063x = 615,774 × 615,774
  4. Step 4: Simplify right side
    285,063x = 379,177,619,076
  5. Step 5: Solve for x
    x = 379,177,619,076/285,063
  6. Step 6: Final answer
    x = 1,330,153.75

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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.