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Finding the Third Proportional to 200,906 and 310,805

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Solution

The third proportional to 200,906 and 310,805 is: 480,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,906 : 310,805 = 310,805 : x
  2. Step 2: Convert to fraction form
    200,906/310,805 = 310,805/x
  3. Step 3: Cross multiply
    200,906x = 310,805 × 310,805
  4. Step 4: Simplify right side
    200,906x = 96,599,748,025
  5. Step 5: Solve for x
    x = 96,599,748,025/200,906
  6. Step 6: Final answer
    x = 480,820.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.