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Finding the Third Proportional to 276,642 and 439,155

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Solution

The third proportional to 276,642 and 439,155 is: 697,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,642 : 439,155 = 439,155 : x
  2. Step 2: Convert to fraction form
    276,642/439,155 = 439,155/x
  3. Step 3: Cross multiply
    276,642x = 439,155 × 439,155
  4. Step 4: Simplify right side
    276,642x = 192,857,114,025
  5. Step 5: Solve for x
    x = 192,857,114,025/276,642
  6. Step 6: Final answer
    x = 697,136.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.