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Finding the Third Proportional to 223,780 and 486,516

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Solution

The third proportional to 223,780 and 486,516 is: 1,057,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,780 : 486,516 = 486,516 : x
  2. Step 2: Convert to fraction form
    223,780/486,516 = 486,516/x
  3. Step 3: Cross multiply
    223,780x = 486,516 × 486,516
  4. Step 4: Simplify right side
    223,780x = 236,697,818,256
  5. Step 5: Solve for x
    x = 236,697,818,256/223,780
  6. Step 6: Final answer
    x = 1,057,725.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.