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Finding the Third Proportional to 209,280 and 453,330

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Solution

The third proportional to 209,280 and 453,330 is: 981,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,280 : 453,330 = 453,330 : x
  2. Step 2: Convert to fraction form
    209,280/453,330 = 453,330/x
  3. Step 3: Cross multiply
    209,280x = 453,330 × 453,330
  4. Step 4: Simplify right side
    209,280x = 205,508,088,900
  5. Step 5: Solve for x
    x = 205,508,088,900/209,280
  6. Step 6: Final answer
    x = 981,976.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.