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Finding the Third Proportional to 217,390 and 458,360

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Solution

The third proportional to 217,390 and 458,360 is: 966,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,390 : 458,360 = 458,360 : x
  2. Step 2: Convert to fraction form
    217,390/458,360 = 458,360/x
  3. Step 3: Cross multiply
    217,390x = 458,360 × 458,360
  4. Step 4: Simplify right side
    217,390x = 210,093,889,600
  5. Step 5: Solve for x
    x = 210,093,889,600/217,390
  6. Step 6: Final answer
    x = 966,437.69

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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.