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Finding the Third Proportional to 121,701 and 266,342

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Solution

The third proportional to 121,701 and 266,342 is: 582,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,701 : 266,342 = 266,342 : x
  2. Step 2: Convert to fraction form
    121,701/266,342 = 266,342/x
  3. Step 3: Cross multiply
    121,701x = 266,342 × 266,342
  4. Step 4: Simplify right side
    121,701x = 70,938,060,964
  5. Step 5: Solve for x
    x = 70,938,060,964/121,701
  6. Step 6: Final answer
    x = 582,888.07

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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.