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Finding the Third Proportional to 356,386.50 and 775,512.56

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Solution

The third proportional to 356,386.50 and 775,512.56 is: 1,687,549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,386.50 : 775,512.56 = 775,512.56 : x
  2. Step 2: Convert to fraction form
    356,386.50/775,512.56 = 775,512.56/x
  3. Step 3: Cross multiply
    356,386.50x = 775,512.56 × 775,512.56
  4. Step 4: Simplify right side
    356,386.50x = 601,419,734,595.32
  5. Step 5: Solve for x
    x = 601,419,734,595.32/356,386.50
  6. Step 6: Final answer
    x = 1,687,549.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.