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Finding the Third Proportional to 190,310 and 266,078

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Solution

The third proportional to 190,310 and 266,078 is: 372,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,310 : 266,078 = 266,078 : x
  2. Step 2: Convert to fraction form
    190,310/266,078 = 266,078/x
  3. Step 3: Cross multiply
    190,310x = 266,078 × 266,078
  4. Step 4: Simplify right side
    190,310x = 70,797,502,084
  5. Step 5: Solve for x
    x = 70,797,502,084/190,310
  6. Step 6: Final answer
    x = 372,011.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.