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Finding the Third Proportional to 243,586 and 531,322

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Solution

The third proportional to 243,586 and 531,322 is: 1,158,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,586 : 531,322 = 531,322 : x
  2. Step 2: Convert to fraction form
    243,586/531,322 = 531,322/x
  3. Step 3: Cross multiply
    243,586x = 531,322 × 531,322
  4. Step 4: Simplify right side
    243,586x = 282,303,067,684
  5. Step 5: Solve for x
    x = 282,303,067,684/243,586
  6. Step 6: Final answer
    x = 1,158,946.19

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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.