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Finding the Third Proportional to 306,508 and 478,394

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Solution

The third proportional to 306,508 and 478,394 is: 746,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,508 : 478,394 = 478,394 : x
  2. Step 2: Convert to fraction form
    306,508/478,394 = 478,394/x
  3. Step 3: Cross multiply
    306,508x = 478,394 × 478,394
  4. Step 4: Simplify right side
    306,508x = 228,860,819,236
  5. Step 5: Solve for x
    x = 228,860,819,236/306,508
  6. Step 6: Final answer
    x = 746,671.60

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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.