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Finding the Third Proportional to 121,653 and 266,988

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Solution

The third proportional to 121,653 and 266,988 is: 585,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,653 : 266,988 = 266,988 : x
  2. Step 2: Convert to fraction form
    121,653/266,988 = 266,988/x
  3. Step 3: Cross multiply
    121,653x = 266,988 × 266,988
  4. Step 4: Simplify right side
    121,653x = 71,282,592,144
  5. Step 5: Solve for x
    x = 71,282,592,144/121,653
  6. Step 6: Final answer
    x = 585,950.14

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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.