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Finding the Third Proportional to 318,360 and 686,310

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Solution

The third proportional to 318,360 and 686,310 is: 1,479,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,360 : 686,310 = 686,310 : x
  2. Step 2: Convert to fraction form
    318,360/686,310 = 686,310/x
  3. Step 3: Cross multiply
    318,360x = 686,310 × 686,310
  4. Step 4: Simplify right side
    318,360x = 471,021,416,100
  5. Step 5: Solve for x
    x = 471,021,416,100/318,360
  6. Step 6: Final answer
    x = 1,479,524.49

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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.