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Finding the Third Proportional to 307,711 and 646,523

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Solution

The third proportional to 307,711 and 646,523 is: 1,358,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,711 : 646,523 = 646,523 : x
  2. Step 2: Convert to fraction form
    307,711/646,523 = 646,523/x
  3. Step 3: Cross multiply
    307,711x = 646,523 × 646,523
  4. Step 4: Simplify right side
    307,711x = 417,991,989,529
  5. Step 5: Solve for x
    x = 417,991,989,529/307,711
  6. Step 6: Final answer
    x = 1,358,391.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.