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Finding the Third Proportional to 200,982 and 310,915

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Solution

The third proportional to 200,982 and 310,915 is: 480,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,982 : 310,915 = 310,915 : x
  2. Step 2: Convert to fraction form
    200,982/310,915 = 310,915/x
  3. Step 3: Cross multiply
    200,982x = 310,915 × 310,915
  4. Step 4: Simplify right side
    200,982x = 96,668,137,225
  5. Step 5: Solve for x
    x = 96,668,137,225/200,982
  6. Step 6: Final answer
    x = 480,979.08

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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.