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Finding the Third Proportional to 30,439.13 and 65,080.13

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Solution

The third proportional to 30,439.13 and 65,080.13 is: 139,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439.13 : 65,080.13 = 65,080.13 : x
  2. Step 2: Convert to fraction form
    30,439.13/65,080.13 = 65,080.13/x
  3. Step 3: Cross multiply
    30,439.13x = 65,080.13 × 65,080.13
  4. Step 4: Simplify right side
    30,439.13x = 4,235,422,670.02
  5. Step 5: Solve for x
    x = 4,235,422,670.02/30,439.13
  6. Step 6: Final answer
    x = 139,144.03

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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.