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Finding the Third Proportional to 74,838 and 124,716

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Solution

The third proportional to 74,838 and 124,716 is: 207,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,838 : 124,716 = 124,716 : x
  2. Step 2: Convert to fraction form
    74,838/124,716 = 124,716/x
  3. Step 3: Cross multiply
    74,838x = 124,716 × 124,716
  4. Step 4: Simplify right side
    74,838x = 15,554,080,656
  5. Step 5: Solve for x
    x = 15,554,080,656/74,838
  6. Step 6: Final answer
    x = 207,836.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.