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Finding the Third Proportional to 550,867.50 and 779,820.75

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Solution

The third proportional to 550,867.50 and 779,820.75 is: 1,103,932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,867.50 : 779,820.75 = 779,820.75 : x
  2. Step 2: Convert to fraction form
    550,867.50/779,820.75 = 779,820.75/x
  3. Step 3: Cross multiply
    550,867.50x = 779,820.75 × 779,820.75
  4. Step 4: Simplify right side
    550,867.50x = 608,120,402,130.56
  5. Step 5: Solve for x
    x = 608,120,402,130.56/550,867.50
  6. Step 6: Final answer
    x = 1,103,932.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.