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Finding the Third Proportional to 303,484 and 663,020

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Solution

The third proportional to 303,484 and 663,020 is: 1,448,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,484 : 663,020 = 663,020 : x
  2. Step 2: Convert to fraction form
    303,484/663,020 = 663,020/x
  3. Step 3: Cross multiply
    303,484x = 663,020 × 663,020
  4. Step 4: Simplify right side
    303,484x = 439,595,520,400
  5. Step 5: Solve for x
    x = 439,595,520,400/303,484
  6. Step 6: Final answer
    x = 1,448,496.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.