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Finding the Third Proportional to 208,574 and 458,620

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Solution

The third proportional to 208,574 and 458,620 is: 1,008,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,574 : 458,620 = 458,620 : x
  2. Step 2: Convert to fraction form
    208,574/458,620 = 458,620/x
  3. Step 3: Cross multiply
    208,574x = 458,620 × 458,620
  4. Step 4: Simplify right side
    208,574x = 210,332,304,400
  5. Step 5: Solve for x
    x = 210,332,304,400/208,574
  6. Step 6: Final answer
    x = 1,008,430.12

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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.