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Finding the Third Proportional to 216,986 and 328,539

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Solution

The third proportional to 216,986 and 328,539 is: 497,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,986 : 328,539 = 328,539 : x
  2. Step 2: Convert to fraction form
    216,986/328,539 = 328,539/x
  3. Step 3: Cross multiply
    216,986x = 328,539 × 328,539
  4. Step 4: Simplify right side
    216,986x = 107,937,874,521
  5. Step 5: Solve for x
    x = 107,937,874,521/216,986
  6. Step 6: Final answer
    x = 497,441.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.