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Finding the Third Proportional to 91,803 and 201,078

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Solution

The third proportional to 91,803 and 201,078 is: 440,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,803 : 201,078 = 201,078 : x
  2. Step 2: Convert to fraction form
    91,803/201,078 = 201,078/x
  3. Step 3: Cross multiply
    91,803x = 201,078 × 201,078
  4. Step 4: Simplify right side
    91,803x = 40,432,362,084
  5. Step 5: Solve for x
    x = 40,432,362,084/91,803
  6. Step 6: Final answer
    x = 440,425.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.