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Finding the Third Proportional to 217,348 and 460,864

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Solution

The third proportional to 217,348 and 460,864 is: 977,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,348 : 460,864 = 460,864 : x
  2. Step 2: Convert to fraction form
    217,348/460,864 = 460,864/x
  3. Step 3: Cross multiply
    217,348x = 460,864 × 460,864
  4. Step 4: Simplify right side
    217,348x = 212,395,626,496
  5. Step 5: Solve for x
    x = 212,395,626,496/217,348
  6. Step 6: Final answer
    x = 977,214.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.