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Finding the Third Proportional to 385,210 and 928,005

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Solution

The third proportional to 385,210 and 928,005 is: 2,235,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,210 : 928,005 = 928,005 : x
  2. Step 2: Convert to fraction form
    385,210/928,005 = 928,005/x
  3. Step 3: Cross multiply
    385,210x = 928,005 × 928,005
  4. Step 4: Simplify right side
    385,210x = 861,193,280,025
  5. Step 5: Solve for x
    x = 861,193,280,025/385,210
  6. Step 6: Final answer
    x = 2,235,646.22

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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.