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Finding the Third Proportional to 218,388 and 463,020

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Solution

The third proportional to 218,388 and 463,020 is: 981,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,388 : 463,020 = 463,020 : x
  2. Step 2: Convert to fraction form
    218,388/463,020 = 463,020/x
  3. Step 3: Cross multiply
    218,388x = 463,020 × 463,020
  4. Step 4: Simplify right side
    218,388x = 214,387,520,400
  5. Step 5: Solve for x
    x = 214,387,520,400/218,388
  6. Step 6: Final answer
    x = 981,681.78

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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.