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Finding the Third Proportional to 378,331.50 and 578,580

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Solution

The third proportional to 378,331.50 and 578,580 is: 884,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,331.50 : 578,580 = 578,580 : x
  2. Step 2: Convert to fraction form
    378,331.50/578,580 = 578,580/x
  3. Step 3: Cross multiply
    378,331.50x = 578,580 × 578,580
  4. Step 4: Simplify right side
    378,331.50x = 334,754,816,400
  5. Step 5: Solve for x
    x = 334,754,816,400/378,331.50
  6. Step 6: Final answer
    x = 884,818.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.