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Finding the Third Proportional to 307,611 and 465,516

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Solution

The third proportional to 307,611 and 465,516 is: 704,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,611 : 465,516 = 465,516 : x
  2. Step 2: Convert to fraction form
    307,611/465,516 = 465,516/x
  3. Step 3: Cross multiply
    307,611x = 465,516 × 465,516
  4. Step 4: Simplify right side
    307,611x = 216,705,146,256
  5. Step 5: Solve for x
    x = 216,705,146,256/307,611
  6. Step 6: Final answer
    x = 704,477.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.