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Finding the Third Proportional to 288,810 and 446,337

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Solution

The third proportional to 288,810 and 446,337 is: 689,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,810 : 446,337 = 446,337 : x
  2. Step 2: Convert to fraction form
    288,810/446,337 = 446,337/x
  3. Step 3: Cross multiply
    288,810x = 446,337 × 446,337
  4. Step 4: Simplify right side
    288,810x = 199,216,717,569
  5. Step 5: Solve for x
    x = 199,216,717,569/288,810
  6. Step 6: Final answer
    x = 689,784.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.