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Finding the Third Proportional to 288,220 and 458,086

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Solution

The third proportional to 288,220 and 458,086 is: 728,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,220 : 458,086 = 458,086 : x
  2. Step 2: Convert to fraction form
    288,220/458,086 = 458,086/x
  3. Step 3: Cross multiply
    288,220x = 458,086 × 458,086
  4. Step 4: Simplify right side
    288,220x = 209,842,783,396
  5. Step 5: Solve for x
    x = 209,842,783,396/288,220
  6. Step 6: Final answer
    x = 728,064.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.