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Finding the Third Proportional to 213,206 and 458,680

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Solution

The third proportional to 213,206 and 458,680 is: 986,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,206 : 458,680 = 458,680 : x
  2. Step 2: Convert to fraction form
    213,206/458,680 = 458,680/x
  3. Step 3: Cross multiply
    213,206x = 458,680 × 458,680
  4. Step 4: Simplify right side
    213,206x = 210,387,342,400
  5. Step 5: Solve for x
    x = 210,387,342,400/213,206
  6. Step 6: Final answer
    x = 986,779.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.