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Finding the Third Proportional to 121,658 and 266,998

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Solution

The third proportional to 121,658 and 266,998 is: 585,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,658 : 266,998 = 266,998 : x
  2. Step 2: Convert to fraction form
    121,658/266,998 = 266,998/x
  3. Step 3: Cross multiply
    121,658x = 266,998 × 266,998
  4. Step 4: Simplify right side
    121,658x = 71,287,932,004
  5. Step 5: Solve for x
    x = 71,287,932,004/121,658
  6. Step 6: Final answer
    x = 585,969.95

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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.