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Finding the Third Proportional to 217,316 and 458,230

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Solution

The third proportional to 217,316 and 458,230 is: 966,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,316 : 458,230 = 458,230 : x
  2. Step 2: Convert to fraction form
    217,316/458,230 = 458,230/x
  3. Step 3: Cross multiply
    217,316x = 458,230 × 458,230
  4. Step 4: Simplify right side
    217,316x = 209,974,732,900
  5. Step 5: Solve for x
    x = 209,974,732,900/217,316
  6. Step 6: Final answer
    x = 966,218.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.