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Finding the Third Proportional to 200,968 and 312,522

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Solution

The third proportional to 200,968 and 312,522 is: 485,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,968 : 312,522 = 312,522 : x
  2. Step 2: Convert to fraction form
    200,968/312,522 = 312,522/x
  3. Step 3: Cross multiply
    200,968x = 312,522 × 312,522
  4. Step 4: Simplify right side
    200,968x = 97,670,000,484
  5. Step 5: Solve for x
    x = 97,670,000,484/200,968
  6. Step 6: Final answer
    x = 485,997.77

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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.