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Finding the Third Proportional to 200,491.75 and 291,715.75

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Solution

The third proportional to 200,491.75 and 291,715.75 is: 424,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,491.75 : 291,715.75 = 291,715.75 : x
  2. Step 2: Convert to fraction form
    200,491.75/291,715.75 = 291,715.75/x
  3. Step 3: Cross multiply
    200,491.75x = 291,715.75 × 291,715.75
  4. Step 4: Simplify right side
    200,491.75x = 85,098,078,798.06
  5. Step 5: Solve for x
    x = 85,098,078,798.06/200,491.75
  6. Step 6: Final answer
    x = 424,446.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.