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Finding the Third Proportional to 139,146.75 and 297,969.75

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Solution

The third proportional to 139,146.75 and 297,969.75 is: 638,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,146.75 : 297,969.75 = 297,969.75 : x
  2. Step 2: Convert to fraction form
    139,146.75/297,969.75 = 297,969.75/x
  3. Step 3: Cross multiply
    139,146.75x = 297,969.75 × 297,969.75
  4. Step 4: Simplify right side
    139,146.75x = 88,785,971,915.06
  5. Step 5: Solve for x
    x = 88,785,971,915.06/139,146.75
  6. Step 6: Final answer
    x = 638,074.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.