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Finding the Third Proportional to 777,288 and 1,687,356

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Solution

The third proportional to 777,288 and 1,687,356 is: 3,662,954.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,288 : 1,687,356 = 1,687,356 : x
  2. Step 2: Convert to fraction form
    777,288/1,687,356 = 1,687,356/x
  3. Step 3: Cross multiply
    777,288x = 1,687,356 × 1,687,356
  4. Step 4: Simplify right side
    777,288x = 2,847,170,270,736
  5. Step 5: Solve for x
    x = 2,847,170,270,736/777,288
  6. Step 6: Final answer
    x = 3,662,954.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.