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Finding the Third Proportional to 691,972 and 1,487,407

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Solution

The third proportional to 691,972 and 1,487,407 is: 3,197,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,972 : 1,487,407 = 1,487,407 : x
  2. Step 2: Convert to fraction form
    691,972/1,487,407 = 1,487,407/x
  3. Step 3: Cross multiply
    691,972x = 1,487,407 × 1,487,407
  4. Step 4: Simplify right side
    691,972x = 2,212,379,583,649
  5. Step 5: Solve for x
    x = 2,212,379,583,649/691,972
  6. Step 6: Final answer
    x = 3,197,209.69

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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.