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Finding the Third Proportional to 266,710.50 and 405,249.75

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Solution

The third proportional to 266,710.50 and 405,249.75 is: 615,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,710.50 : 405,249.75 = 405,249.75 : x
  2. Step 2: Convert to fraction form
    266,710.50/405,249.75 = 405,249.75/x
  3. Step 3: Cross multiply
    266,710.50x = 405,249.75 × 405,249.75
  4. Step 4: Simplify right side
    266,710.50x = 164,227,359,875.06
  5. Step 5: Solve for x
    x = 164,227,359,875.06/266,710.50
  6. Step 6: Final answer
    x = 615,751.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.