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Finding the Third Proportional to 73,564 and 116,540

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Solution

The third proportional to 73,564 and 116,540 is: 184,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,564 : 116,540 = 116,540 : x
  2. Step 2: Convert to fraction form
    73,564/116,540 = 116,540/x
  3. Step 3: Cross multiply
    73,564x = 116,540 × 116,540
  4. Step 4: Simplify right side
    73,564x = 13,581,571,600
  5. Step 5: Solve for x
    x = 13,581,571,600/73,564
  6. Step 6: Final answer
    x = 184,622.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.