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Finding the Third Proportional to 216,998 and 328,557

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Solution

The third proportional to 216,998 and 328,557 is: 497,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,998 : 328,557 = 328,557 : x
  2. Step 2: Convert to fraction form
    216,998/328,557 = 328,557/x
  3. Step 3: Cross multiply
    216,998x = 328,557 × 328,557
  4. Step 4: Simplify right side
    216,998x = 107,949,702,249
  5. Step 5: Solve for x
    x = 107,949,702,249/216,998
  6. Step 6: Final answer
    x = 497,468.65

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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.