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Finding the Third Proportional to 200,284 and 310,013

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Solution

The third proportional to 200,284 and 310,013 is: 479,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,284 : 310,013 = 310,013 : x
  2. Step 2: Convert to fraction form
    200,284/310,013 = 310,013/x
  3. Step 3: Cross multiply
    200,284x = 310,013 × 310,013
  4. Step 4: Simplify right side
    200,284x = 96,108,060,169
  5. Step 5: Solve for x
    x = 96,108,060,169/200,284
  6. Step 6: Final answer
    x = 479,858.90

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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.