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Finding the Third Proportional to 300,084 and 453,339

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Solution

The third proportional to 300,084 and 453,339 is: 684,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,084 : 453,339 = 453,339 : x
  2. Step 2: Convert to fraction form
    300,084/453,339 = 453,339/x
  3. Step 3: Cross multiply
    300,084x = 453,339 × 453,339
  4. Step 4: Simplify right side
    300,084x = 205,516,248,921
  5. Step 5: Solve for x
    x = 205,516,248,921/300,084
  6. Step 6: Final answer
    x = 684,862.40

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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.