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Finding the Third Proportional to 216,991 and 328,547

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Solution

The third proportional to 216,991 and 328,547 is: 497,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,991 : 328,547 = 328,547 : x
  2. Step 2: Convert to fraction form
    216,991/328,547 = 328,547/x
  3. Step 3: Cross multiply
    216,991x = 328,547 × 328,547
  4. Step 4: Simplify right side
    216,991x = 107,943,131,209
  5. Step 5: Solve for x
    x = 107,943,131,209/216,991
  6. Step 6: Final answer
    x = 497,454.42

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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.