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Finding the Third Proportional to 386,548 and 614,958

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Solution

The third proportional to 386,548 and 614,958 is: 978,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,548 : 614,958 = 614,958 : x
  2. Step 2: Convert to fraction form
    386,548/614,958 = 614,958/x
  3. Step 3: Cross multiply
    386,548x = 614,958 × 614,958
  4. Step 4: Simplify right side
    386,548x = 378,173,341,764
  5. Step 5: Solve for x
    x = 378,173,341,764/386,548
  6. Step 6: Final answer
    x = 978,334.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.