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Finding the Third Proportional to 121,513 and 261,652

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Solution

The third proportional to 121,513 and 261,652 is: 563,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,513 : 261,652 = 261,652 : x
  2. Step 2: Convert to fraction form
    121,513/261,652 = 261,652/x
  3. Step 3: Cross multiply
    121,513x = 261,652 × 261,652
  4. Step 4: Simplify right side
    121,513x = 68,461,769,104
  5. Step 5: Solve for x
    x = 68,461,769,104/121,513
  6. Step 6: Final answer
    x = 563,411.07

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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.