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Finding the Third Proportional to 213,937 and 458,235

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Solution

The third proportional to 213,937 and 458,235 is: 981,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,937 : 458,235 = 458,235 : x
  2. Step 2: Convert to fraction form
    213,937/458,235 = 458,235/x
  3. Step 3: Cross multiply
    213,937x = 458,235 × 458,235
  4. Step 4: Simplify right side
    213,937x = 209,979,315,225
  5. Step 5: Solve for x
    x = 209,979,315,225/213,937
  6. Step 6: Final answer
    x = 981,500.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.