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Finding the Third Proportional to 315,078 and 478,441

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Solution

The third proportional to 315,078 and 478,441 is: 726,505.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,078 : 478,441 = 478,441 : x
  2. Step 2: Convert to fraction form
    315,078/478,441 = 478,441/x
  3. Step 3: Cross multiply
    315,078x = 478,441 × 478,441
  4. Step 4: Simplify right side
    315,078x = 228,905,790,481
  5. Step 5: Solve for x
    x = 228,905,790,481/315,078
  6. Step 6: Final answer
    x = 726,505.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.