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Finding the Third Proportional to 201,288.38 and 313,110.56

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Solution

The third proportional to 201,288.38 and 313,110.56 is: 487,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,288.38 : 313,110.56 = 313,110.56 : x
  2. Step 2: Convert to fraction form
    201,288.38/313,110.56 = 313,110.56/x
  3. Step 3: Cross multiply
    201,288.38x = 313,110.56 × 313,110.56
  4. Step 4: Simplify right side
    201,288.38x = 98,038,224,349.07
  5. Step 5: Solve for x
    x = 98,038,224,349.07/201,288.38
  6. Step 6: Final answer
    x = 487,053.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.