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Finding the Third Proportional to 115,399 and 260,430

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Solution

The third proportional to 115,399 and 260,430 is: 587,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,399 : 260,430 = 260,430 : x
  2. Step 2: Convert to fraction form
    115,399/260,430 = 260,430/x
  3. Step 3: Cross multiply
    115,399x = 260,430 × 260,430
  4. Step 4: Simplify right side
    115,399x = 67,823,784,900
  5. Step 5: Solve for x
    x = 67,823,784,900/115,399
  6. Step 6: Final answer
    x = 587,732.87

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.