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Finding the Third Proportional to 223,402 and 486,120

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Solution

The third proportional to 223,402 and 486,120 is: 1,057,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,402 : 486,120 = 486,120 : x
  2. Step 2: Convert to fraction form
    223,402/486,120 = 486,120/x
  3. Step 3: Cross multiply
    223,402x = 486,120 × 486,120
  4. Step 4: Simplify right side
    223,402x = 236,312,654,400
  5. Step 5: Solve for x
    x = 236,312,654,400/223,402
  6. Step 6: Final answer
    x = 1,057,791.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.