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Finding the Third Proportional to 200,404 and 312,080

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Solution

The third proportional to 200,404 and 312,080 is: 485,987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,404 : 312,080 = 312,080 : x
  2. Step 2: Convert to fraction form
    200,404/312,080 = 312,080/x
  3. Step 3: Cross multiply
    200,404x = 312,080 × 312,080
  4. Step 4: Simplify right side
    200,404x = 97,393,926,400
  5. Step 5: Solve for x
    x = 97,393,926,400/200,404
  6. Step 6: Final answer
    x = 485,987.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.