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Finding the Third Proportional to 385,394,034.38 and 578,209,185

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Solution

The third proportional to 385,394,034.38 and 578,209,185 is: 867,491,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,394,034.38 : 578,209,185 = 578,209,185 : x
  2. Step 2: Convert to fraction form
    385,394,034.38/578,209,185 = 578,209,185/x
  3. Step 3: Cross multiply
    385,394,034.38x = 578,209,185 × 578,209,185
  4. Step 4: Simplify right side
    385,394,034.38x = 334,325,861,618,364,224
  5. Step 5: Solve for x
    x = 334,325,861,618,364,224/385,394,034.38
  6. Step 6: Final answer
    x = 867,491,013.87

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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.