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Finding the Third Proportional to 200,747 and 272,505

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Solution

The third proportional to 200,747 and 272,505 is: 369,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,747 : 272,505 = 272,505 : x
  2. Step 2: Convert to fraction form
    200,747/272,505 = 272,505/x
  3. Step 3: Cross multiply
    200,747x = 272,505 × 272,505
  4. Step 4: Simplify right side
    200,747x = 74,258,975,025
  5. Step 5: Solve for x
    x = 74,258,975,025/200,747
  6. Step 6: Final answer
    x = 369,913.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.