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Finding the Third Proportional to 65,539.13 and 140,423.63

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Solution

The third proportional to 65,539.13 and 140,423.63 is: 300,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,539.13 : 140,423.63 = 140,423.63 : x
  2. Step 2: Convert to fraction form
    65,539.13/140,423.63 = 140,423.63/x
  3. Step 3: Cross multiply
    65,539.13x = 140,423.63 × 140,423.63
  4. Step 4: Simplify right side
    65,539.13x = 19,718,794,458.14
  5. Step 5: Solve for x
    x = 19,718,794,458.14/65,539.13
  6. Step 6: Final answer
    x = 300,870.58

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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.