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Finding the Third Proportional to 208,570 and 458,612

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Solution

The third proportional to 208,570 and 458,612 is: 1,008,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,570 : 458,612 = 458,612 : x
  2. Step 2: Convert to fraction form
    208,570/458,612 = 458,612/x
  3. Step 3: Cross multiply
    208,570x = 458,612 × 458,612
  4. Step 4: Simplify right side
    208,570x = 210,324,966,544
  5. Step 5: Solve for x
    x = 210,324,966,544/208,570
  6. Step 6: Final answer
    x = 1,008,414.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.