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Finding the Third Proportional to 115,065 and 251,649

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Solution

The third proportional to 115,065 and 251,649 is: 550,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,065 : 251,649 = 251,649 : x
  2. Step 2: Convert to fraction form
    115,065/251,649 = 251,649/x
  3. Step 3: Cross multiply
    115,065x = 251,649 × 251,649
  4. Step 4: Simplify right side
    115,065x = 63,327,219,201
  5. Step 5: Solve for x
    x = 63,327,219,201/115,065
  6. Step 6: Final answer
    x = 550,360.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.