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Finding the Third Proportional to 200,686.50 and 434,452.50

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Solution

The third proportional to 200,686.50 and 434,452.50 is: 940,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,686.50 : 434,452.50 = 434,452.50 : x
  2. Step 2: Convert to fraction form
    200,686.50/434,452.50 = 434,452.50/x
  3. Step 3: Cross multiply
    200,686.50x = 434,452.50 × 434,452.50
  4. Step 4: Simplify right side
    200,686.50x = 188,748,974,756.25
  5. Step 5: Solve for x
    x = 188,748,974,756.25/200,686.50
  6. Step 6: Final answer
    x = 940,516.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.