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Finding the Third Proportional to 200,718 and 273,390.19

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Solution

The third proportional to 200,718 and 273,390.19 is: 372,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,718 : 273,390.19 = 273,390.19 : x
  2. Step 2: Convert to fraction form
    200,718/273,390.19 = 273,390.19/x
  3. Step 3: Cross multiply
    200,718x = 273,390.19 × 273,390.19
  4. Step 4: Simplify right side
    200,718x = 74,742,194,621.29
  5. Step 5: Solve for x
    x = 74,742,194,621.29/200,718
  6. Step 6: Final answer
    x = 372,374.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.