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Finding the Third Proportional to 306,561 and 478,465

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Solution

The third proportional to 306,561 and 478,465 is: 746,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,561 : 478,465 = 478,465 : x
  2. Step 2: Convert to fraction form
    306,561/478,465 = 478,465/x
  3. Step 3: Cross multiply
    306,561x = 478,465 × 478,465
  4. Step 4: Simplify right side
    306,561x = 228,928,756,225
  5. Step 5: Solve for x
    x = 228,928,756,225/306,561
  6. Step 6: Final answer
    x = 746,764.12

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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.