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Finding the Third Proportional to 121,311 and 259,246.50

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Solution

The third proportional to 121,311 and 259,246.50 is: 554,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,311 : 259,246.50 = 259,246.50 : x
  2. Step 2: Convert to fraction form
    121,311/259,246.50 = 259,246.50/x
  3. Step 3: Cross multiply
    121,311x = 259,246.50 × 259,246.50
  4. Step 4: Simplify right side
    121,311x = 67,208,747,762.25
  5. Step 5: Solve for x
    x = 67,208,747,762.25/121,311
  6. Step 6: Final answer
    x = 554,020.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.