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Finding the Third Proportional to 200,946 and 273,655.50

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Solution

The third proportional to 200,946 and 273,655.50 is: 372,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,946 : 273,655.50 = 273,655.50 : x
  2. Step 2: Convert to fraction form
    200,946/273,655.50 = 273,655.50/x
  3. Step 3: Cross multiply
    200,946x = 273,655.50 × 273,655.50
  4. Step 4: Simplify right side
    200,946x = 74,887,332,680.25
  5. Step 5: Solve for x
    x = 74,887,332,680.25/200,946
  6. Step 6: Final answer
    x = 372,673.92

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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.