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Finding the Third Proportional to 303,438 and 626,478

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Solution

The third proportional to 303,438 and 626,478 is: 1,293,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,438 : 626,478 = 626,478 : x
  2. Step 2: Convert to fraction form
    303,438/626,478 = 626,478/x
  3. Step 3: Cross multiply
    303,438x = 626,478 × 626,478
  4. Step 4: Simplify right side
    303,438x = 392,474,684,484
  5. Step 5: Solve for x
    x = 392,474,684,484/303,438
  6. Step 6: Final answer
    x = 1,293,426.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.