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Finding the Third Proportional to 218,724 and 287,202

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Solution

The third proportional to 218,724 and 287,202 is: 377,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,724 : 287,202 = 287,202 : x
  2. Step 2: Convert to fraction form
    218,724/287,202 = 287,202/x
  3. Step 3: Cross multiply
    218,724x = 287,202 × 287,202
  4. Step 4: Simplify right side
    218,724x = 82,484,988,804
  5. Step 5: Solve for x
    x = 82,484,988,804/218,724
  6. Step 6: Final answer
    x = 377,119.06

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.