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Finding the Third Proportional to 218,385 and 463,013

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Solution

The third proportional to 218,385 and 463,013 is: 981,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,385 : 463,013 = 463,013 : x
  2. Step 2: Convert to fraction form
    218,385/463,013 = 463,013/x
  3. Step 3: Cross multiply
    218,385x = 463,013 × 463,013
  4. Step 4: Simplify right side
    218,385x = 214,381,038,169
  5. Step 5: Solve for x
    x = 214,381,038,169/218,385
  6. Step 6: Final answer
    x = 981,665.58

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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.