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Finding the Third Proportional to 136,020 and 294,636

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Solution

The third proportional to 136,020 and 294,636 is: 638,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,020 : 294,636 = 294,636 : x
  2. Step 2: Convert to fraction form
    136,020/294,636 = 294,636/x
  3. Step 3: Cross multiply
    136,020x = 294,636 × 294,636
  4. Step 4: Simplify right side
    136,020x = 86,810,372,496
  5. Step 5: Solve for x
    x = 86,810,372,496/136,020
  6. Step 6: Final answer
    x = 638,217.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.