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Finding the Third Proportional to 64,972.13 and 142,352.44

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Solution

The third proportional to 64,972.13 and 142,352.44 is: 311,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972.13 : 142,352.44 = 142,352.44 : x
  2. Step 2: Convert to fraction form
    64,972.13/142,352.44 = 142,352.44/x
  3. Step 3: Cross multiply
    64,972.13x = 142,352.44 × 142,352.44
  4. Step 4: Simplify right side
    64,972.13x = 20,264,216,462.19
  5. Step 5: Solve for x
    x = 20,264,216,462.19/64,972.13
  6. Step 6: Final answer
    x = 311,890.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.