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Finding the Third Proportional to 121,605 and 265,131

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Solution

The third proportional to 121,605 and 265,131 is: 578,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,605 : 265,131 = 265,131 : x
  2. Step 2: Convert to fraction form
    121,605/265,131 = 265,131/x
  3. Step 3: Cross multiply
    121,605x = 265,131 × 265,131
  4. Step 4: Simplify right side
    121,605x = 70,294,447,161
  5. Step 5: Solve for x
    x = 70,294,447,161/121,605
  6. Step 6: Final answer
    x = 578,055.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.