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Finding the Third Proportional to 216,990 and 328,545

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Solution

The third proportional to 216,990 and 328,545 is: 497,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,990 : 328,545 = 328,545 : x
  2. Step 2: Convert to fraction form
    216,990/328,545 = 328,545/x
  3. Step 3: Cross multiply
    216,990x = 328,545 × 328,545
  4. Step 4: Simplify right side
    216,990x = 107,941,817,025
  5. Step 5: Solve for x
    x = 107,941,817,025/216,990
  6. Step 6: Final answer
    x = 497,450.65

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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.