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Finding the Third Proportional to 201,558.38 and 291,362.06

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Solution

The third proportional to 201,558.38 and 291,362.06 is: 421,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,558.38 : 291,362.06 = 291,362.06 : x
  2. Step 2: Convert to fraction form
    201,558.38/291,362.06 = 291,362.06/x
  3. Step 3: Cross multiply
    201,558.38x = 291,362.06 × 291,362.06
  4. Step 4: Simplify right side
    201,558.38x = 84,891,851,464.25
  5. Step 5: Solve for x
    x = 84,891,851,464.25/201,558.38
  6. Step 6: Final answer
    x = 421,177.49

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.