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Finding the Third Proportional to 318,254 and 686,322

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Solution

The third proportional to 318,254 and 686,322 is: 1,480,069.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,254 : 686,322 = 686,322 : x
  2. Step 2: Convert to fraction form
    318,254/686,322 = 686,322/x
  3. Step 3: Cross multiply
    318,254x = 686,322 × 686,322
  4. Step 4: Simplify right side
    318,254x = 471,037,887,684
  5. Step 5: Solve for x
    x = 471,037,887,684/318,254
  6. Step 6: Final answer
    x = 1,480,069.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.