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Finding the Third Proportional to 691,974 and 1,487,411

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Solution

The third proportional to 691,974 and 1,487,411 is: 3,197,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,974 : 1,487,411 = 1,487,411 : x
  2. Step 2: Convert to fraction form
    691,974/1,487,411 = 1,487,411/x
  3. Step 3: Cross multiply
    691,974x = 1,487,411 × 1,487,411
  4. Step 4: Simplify right side
    691,974x = 2,212,391,482,921
  5. Step 5: Solve for x
    x = 2,212,391,482,921/691,974
  6. Step 6: Final answer
    x = 3,197,217.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.