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Finding the Third Proportional to 306,711 and 470,775

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Solution

The third proportional to 306,711 and 470,775 is: 722,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,711 : 470,775 = 470,775 : x
  2. Step 2: Convert to fraction form
    306,711/470,775 = 470,775/x
  3. Step 3: Cross multiply
    306,711x = 470,775 × 470,775
  4. Step 4: Simplify right side
    306,711x = 221,629,100,625
  5. Step 5: Solve for x
    x = 221,629,100,625/306,711
  6. Step 6: Final answer
    x = 722,599.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.