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Finding the Third Proportional to 200,315 and 472,862

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Solution

The third proportional to 200,315 and 472,862 is: 1,116,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,315 : 472,862 = 472,862 : x
  2. Step 2: Convert to fraction form
    200,315/472,862 = 472,862/x
  3. Step 3: Cross multiply
    200,315x = 472,862 × 472,862
  4. Step 4: Simplify right side
    200,315x = 223,598,471,044
  5. Step 5: Solve for x
    x = 223,598,471,044/200,315
  6. Step 6: Final answer
    x = 1,116,234.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.