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Finding the Third Proportional to 290,578 and 615,780

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Solution

The third proportional to 290,578 and 615,780 is: 1,304,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,578 : 615,780 = 615,780 : x
  2. Step 2: Convert to fraction form
    290,578/615,780 = 615,780/x
  3. Step 3: Cross multiply
    290,578x = 615,780 × 615,780
  4. Step 4: Simplify right side
    290,578x = 379,185,008,400
  5. Step 5: Solve for x
    x = 379,185,008,400/290,578
  6. Step 6: Final answer
    x = 1,304,933.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.