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Finding the Third Proportional to 121,948 and 266,240

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Solution

The third proportional to 121,948 and 266,240 is: 581,261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,948 : 266,240 = 266,240 : x
  2. Step 2: Convert to fraction form
    121,948/266,240 = 266,240/x
  3. Step 3: Cross multiply
    121,948x = 266,240 × 266,240
  4. Step 4: Simplify right side
    121,948x = 70,883,737,600
  5. Step 5: Solve for x
    x = 70,883,737,600/121,948
  6. Step 6: Final answer
    x = 581,261.99

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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.