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Finding the Third Proportional to 121,658 and 261,308

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Solution

The third proportional to 121,658 and 261,308 is: 561,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,658 : 261,308 = 261,308 : x
  2. Step 2: Convert to fraction form
    121,658/261,308 = 261,308/x
  3. Step 3: Cross multiply
    121,658x = 261,308 × 261,308
  4. Step 4: Simplify right side
    121,658x = 68,281,870,864
  5. Step 5: Solve for x
    x = 68,281,870,864/121,658
  6. Step 6: Final answer
    x = 561,260.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.