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Finding the Third Proportional to 266,910.75 and 412,837.88

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Solution

The third proportional to 266,910.75 and 412,837.88 is: 638,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,910.75 : 412,837.88 = 412,837.88 : x
  2. Step 2: Convert to fraction form
    266,910.75/412,837.88 = 412,837.88/x
  3. Step 3: Cross multiply
    266,910.75x = 412,837.88 × 412,837.88
  4. Step 4: Simplify right side
    266,910.75x = 170,435,111,034.52
  5. Step 5: Solve for x
    x = 170,435,111,034.52/266,910.75
  6. Step 6: Final answer
    x = 638,547.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.