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Finding the Third Proportional to 200,964 and 310,890

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Solution

The third proportional to 200,964 and 310,890 is: 480,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,964 : 310,890 = 310,890 : x
  2. Step 2: Convert to fraction form
    200,964/310,890 = 310,890/x
  3. Step 3: Cross multiply
    200,964x = 310,890 × 310,890
  4. Step 4: Simplify right side
    200,964x = 96,652,592,100
  5. Step 5: Solve for x
    x = 96,652,592,100/200,964
  6. Step 6: Final answer
    x = 480,944.81

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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.