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Finding the Third Proportional to 385,179.75 and 578,934

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Solution

The third proportional to 385,179.75 and 578,934 is: 870,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,179.75 : 578,934 = 578,934 : x
  2. Step 2: Convert to fraction form
    385,179.75/578,934 = 578,934/x
  3. Step 3: Cross multiply
    385,179.75x = 578,934 × 578,934
  4. Step 4: Simplify right side
    385,179.75x = 335,164,576,356
  5. Step 5: Solve for x
    x = 335,164,576,356/385,179.75
  6. Step 6: Final answer
    x = 870,151.08

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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.