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Finding the Third Proportional to 266,160 and 400,320

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Solution

The third proportional to 266,160 and 400,320 is: 602,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,160 : 400,320 = 400,320 : x
  2. Step 2: Convert to fraction form
    266,160/400,320 = 400,320/x
  3. Step 3: Cross multiply
    266,160x = 400,320 × 400,320
  4. Step 4: Simplify right side
    266,160x = 160,256,102,400
  5. Step 5: Solve for x
    x = 160,256,102,400/266,160
  6. Step 6: Final answer
    x = 602,104.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.