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Finding the Third Proportional to 266,278 and 411,216

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Solution

The third proportional to 266,278 and 411,216 is: 635,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,278 : 411,216 = 411,216 : x
  2. Step 2: Convert to fraction form
    266,278/411,216 = 411,216/x
  3. Step 3: Cross multiply
    266,278x = 411,216 × 411,216
  4. Step 4: Simplify right side
    266,278x = 169,098,598,656
  5. Step 5: Solve for x
    x = 169,098,598,656/266,278
  6. Step 6: Final answer
    x = 635,045.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.