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Finding the Third Proportional to 121,695 and 266,330

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Solution

The third proportional to 121,695 and 266,330 is: 582,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,695 : 266,330 = 266,330 : x
  2. Step 2: Convert to fraction form
    121,695/266,330 = 266,330/x
  3. Step 3: Cross multiply
    121,695x = 266,330 × 266,330
  4. Step 4: Simplify right side
    121,695x = 70,931,668,900
  5. Step 5: Solve for x
    x = 70,931,668,900/121,695
  6. Step 6: Final answer
    x = 582,864.28

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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.