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Finding the Third Proportional to 249,086 and 396,539

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Solution

The third proportional to 249,086 and 396,539 is: 631,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,086 : 396,539 = 396,539 : x
  2. Step 2: Convert to fraction form
    249,086/396,539 = 396,539/x
  3. Step 3: Cross multiply
    249,086x = 396,539 × 396,539
  4. Step 4: Simplify right side
    249,086x = 157,243,178,521
  5. Step 5: Solve for x
    x = 157,243,178,521/249,086
  6. Step 6: Final answer
    x = 631,280.68

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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.