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Finding the Third Proportional to 319,926 and 686,400

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Solution

The third proportional to 319,926 and 686,400 is: 1,472,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,926 : 686,400 = 686,400 : x
  2. Step 2: Convert to fraction form
    319,926/686,400 = 686,400/x
  3. Step 3: Cross multiply
    319,926x = 686,400 × 686,400
  4. Step 4: Simplify right side
    319,926x = 471,144,960,000
  5. Step 5: Solve for x
    x = 471,144,960,000/319,926
  6. Step 6: Final answer
    x = 1,472,668.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.