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Finding the Third Proportional to 291,228 and 439,515

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Solution

The third proportional to 291,228 and 439,515 is: 663,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,228 : 439,515 = 439,515 : x
  2. Step 2: Convert to fraction form
    291,228/439,515 = 439,515/x
  3. Step 3: Cross multiply
    291,228x = 439,515 × 439,515
  4. Step 4: Simplify right side
    291,228x = 193,173,435,225
  5. Step 5: Solve for x
    x = 193,173,435,225/291,228
  6. Step 6: Final answer
    x = 663,306.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.