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Finding the Third Proportional to 306,564 and 478,470

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Solution

The third proportional to 306,564 and 478,470 is: 746,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,564 : 478,470 = 478,470 : x
  2. Step 2: Convert to fraction form
    306,564/478,470 = 478,470/x
  3. Step 3: Cross multiply
    306,564x = 478,470 × 478,470
  4. Step 4: Simplify right side
    306,564x = 228,933,540,900
  5. Step 5: Solve for x
    x = 228,933,540,900/306,564
  6. Step 6: Final answer
    x = 746,772.42

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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.