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Finding the Third Proportional to 200,725 and 310,082

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Solution

The third proportional to 200,725 and 310,082 is: 479,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,725 : 310,082 = 310,082 : x
  2. Step 2: Convert to fraction form
    200,725/310,082 = 310,082/x
  3. Step 3: Cross multiply
    200,725x = 310,082 × 310,082
  4. Step 4: Simplify right side
    200,725x = 96,150,846,724
  5. Step 5: Solve for x
    x = 96,150,846,724/200,725
  6. Step 6: Final answer
    x = 479,017.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.