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Finding the Third Proportional to 290,612.25 and 615,794.63

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Solution

The third proportional to 290,612.25 and 615,794.63 is: 1,304,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,612.25 : 615,794.63 = 615,794.63 : x
  2. Step 2: Convert to fraction form
    290,612.25/615,794.63 = 615,794.63/x
  3. Step 3: Cross multiply
    290,612.25x = 615,794.63 × 615,794.63
  4. Step 4: Simplify right side
    290,612.25x = 379,203,020,178.89
  5. Step 5: Solve for x
    x = 379,203,020,178.89/290,612.25
  6. Step 6: Final answer
    x = 1,304,841.83

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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.