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Finding the Third Proportional to 121,458 and 266,829.50

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Solution

The third proportional to 121,458 and 266,829.50 is: 586,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,458 : 266,829.50 = 266,829.50 : x
  2. Step 2: Convert to fraction form
    121,458/266,829.50 = 266,829.50/x
  3. Step 3: Cross multiply
    121,458x = 266,829.50 × 266,829.50
  4. Step 4: Simplify right side
    121,458x = 71,197,982,070.25
  5. Step 5: Solve for x
    x = 71,197,982,070.25/121,458
  6. Step 6: Final answer
    x = 586,194.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.