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Finding the Third Proportional to 407,730 and 867,945

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Solution

The third proportional to 407,730 and 867,945 is: 1,847,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,730 : 867,945 = 867,945 : x
  2. Step 2: Convert to fraction form
    407,730/867,945 = 867,945/x
  3. Step 3: Cross multiply
    407,730x = 867,945 × 867,945
  4. Step 4: Simplify right side
    407,730x = 753,328,523,025
  5. Step 5: Solve for x
    x = 753,328,523,025/407,730
  6. Step 6: Final answer
    x = 1,847,616.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.