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Finding the Third Proportional to 385,208 and 928,000

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Solution

The third proportional to 385,208 and 928,000 is: 2,235,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,208 : 928,000 = 928,000 : x
  2. Step 2: Convert to fraction form
    385,208/928,000 = 928,000/x
  3. Step 3: Cross multiply
    385,208x = 928,000 × 928,000
  4. Step 4: Simplify right side
    385,208x = 861,184,000,000
  5. Step 5: Solve for x
    x = 861,184,000,000/385,208
  6. Step 6: Final answer
    x = 2,235,633.74

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.