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Finding the Third Proportional to 121,653 and 266,989.50

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Solution

The third proportional to 121,653 and 266,989.50 is: 585,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,653 : 266,989.50 = 266,989.50 : x
  2. Step 2: Convert to fraction form
    121,653/266,989.50 = 266,989.50/x
  3. Step 3: Cross multiply
    121,653x = 266,989.50 × 266,989.50
  4. Step 4: Simplify right side
    121,653x = 71,283,393,110.25
  5. Step 5: Solve for x
    x = 71,283,393,110.25/121,653
  6. Step 6: Final answer
    x = 585,956.72

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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.