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Finding the Third Proportional to 118,699 and 280,202

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Solution

The third proportional to 118,699 and 280,202 is: 661,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,699 : 280,202 = 280,202 : x
  2. Step 2: Convert to fraction form
    118,699/280,202 = 280,202/x
  3. Step 3: Cross multiply
    118,699x = 280,202 × 280,202
  4. Step 4: Simplify right side
    118,699x = 78,513,160,804
  5. Step 5: Solve for x
    x = 78,513,160,804/118,699
  6. Step 6: Final answer
    x = 661,447.53

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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.