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Finding the Third Proportional to 324,432 and 478,224

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Solution

The third proportional to 324,432 and 478,224 is: 704,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,432 : 478,224 = 478,224 : x
  2. Step 2: Convert to fraction form
    324,432/478,224 = 478,224/x
  3. Step 3: Cross multiply
    324,432x = 478,224 × 478,224
  4. Step 4: Simplify right side
    324,432x = 228,698,194,176
  5. Step 5: Solve for x
    x = 228,698,194,176/324,432
  6. Step 6: Final answer
    x = 704,918.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.