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Finding the Third Proportional to 324,440 and 478,236

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Solution

The third proportional to 324,440 and 478,236 is: 704,936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,440 : 478,236 = 478,236 : x
  2. Step 2: Convert to fraction form
    324,440/478,236 = 478,236/x
  3. Step 3: Cross multiply
    324,440x = 478,236 × 478,236
  4. Step 4: Simplify right side
    324,440x = 228,709,671,696
  5. Step 5: Solve for x
    x = 228,709,671,696/324,440
  6. Step 6: Final answer
    x = 704,936.73

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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.