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Finding the Third Proportional to 266,378 and 402,330

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Solution

The third proportional to 266,378 and 402,330 is: 607,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,378 : 402,330 = 402,330 : x
  2. Step 2: Convert to fraction form
    266,378/402,330 = 402,330/x
  3. Step 3: Cross multiply
    266,378x = 402,330 × 402,330
  4. Step 4: Simplify right side
    266,378x = 161,869,428,900
  5. Step 5: Solve for x
    x = 161,869,428,900/266,378
  6. Step 6: Final answer
    x = 607,668.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.