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Finding the Third Proportional to 243,134.16 and 390,651.61

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Solution

The third proportional to 243,134.16 and 390,651.61 is: 627,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,134.16 : 390,651.61 = 390,651.61 : x
  2. Step 2: Convert to fraction form
    243,134.16/390,651.61 = 390,651.61/x
  3. Step 3: Cross multiply
    243,134.16x = 390,651.61 × 390,651.61
  4. Step 4: Simplify right side
    243,134.16x = 152,608,679,907.28
  5. Step 5: Solve for x
    x = 152,608,679,907.28/243,134.16
  6. Step 6: Final answer
    x = 627,672.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.