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Finding the Third Proportional to 306,503 and 478,384

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Solution

The third proportional to 306,503 and 478,384 is: 746,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,503 : 478,384 = 478,384 : x
  2. Step 2: Convert to fraction form
    306,503/478,384 = 478,384/x
  3. Step 3: Cross multiply
    306,503x = 478,384 × 478,384
  4. Step 4: Simplify right side
    306,503x = 228,851,251,456
  5. Step 5: Solve for x
    x = 228,851,251,456/306,503
  6. Step 6: Final answer
    x = 746,652.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.