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Finding the Third Proportional to 306,477 and 475,754

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Solution

The third proportional to 306,477 and 475,754 is: 738,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,477 : 475,754 = 475,754 : x
  2. Step 2: Convert to fraction form
    306,477/475,754 = 475,754/x
  3. Step 3: Cross multiply
    306,477x = 475,754 × 475,754
  4. Step 4: Simplify right side
    306,477x = 226,341,868,516
  5. Step 5: Solve for x
    x = 226,341,868,516/306,477
  6. Step 6: Final answer
    x = 738,528.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.