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Finding the Third Proportional to 303,814 and 664,840

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Solution

The third proportional to 303,814 and 664,840 is: 1,454,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,814 : 664,840 = 664,840 : x
  2. Step 2: Convert to fraction form
    303,814/664,840 = 664,840/x
  3. Step 3: Cross multiply
    303,814x = 664,840 × 664,840
  4. Step 4: Simplify right side
    303,814x = 442,012,225,600
  5. Step 5: Solve for x
    x = 442,012,225,600/303,814
  6. Step 6: Final answer
    x = 1,454,877.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.