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Finding the Third Proportional to 306,548 and 478,446

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Solution

The third proportional to 306,548 and 478,446 is: 746,736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,548 : 478,446 = 478,446 : x
  2. Step 2: Convert to fraction form
    306,548/478,446 = 478,446/x
  3. Step 3: Cross multiply
    306,548x = 478,446 × 478,446
  4. Step 4: Simplify right side
    306,548x = 228,910,574,916
  5. Step 5: Solve for x
    x = 228,910,574,916/306,548
  6. Step 6: Final answer
    x = 746,736.48

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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.