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Finding the Third Proportional to 65,815.03 and 142,138.13

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Solution

The third proportional to 65,815.03 and 142,138.13 is: 306,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,815.03 : 142,138.13 = 142,138.13 : x
  2. Step 2: Convert to fraction form
    65,815.03/142,138.13 = 142,138.13/x
  3. Step 3: Cross multiply
    65,815.03x = 142,138.13 × 142,138.13
  4. Step 4: Simplify right side
    65,815.03x = 20,203,246,578.52
  5. Step 5: Solve for x
    x = 20,203,246,578.52/65,815.03
  6. Step 6: Final answer
    x = 306,970.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.