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Finding the Third Proportional to 65,643.56 and 143,168.06

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Solution

The third proportional to 65,643.56 and 143,168.06 is: 312,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,643.56 : 143,168.06 = 143,168.06 : x
  2. Step 2: Convert to fraction form
    65,643.56/143,168.06 = 143,168.06/x
  3. Step 3: Cross multiply
    65,643.56x = 143,168.06 × 143,168.06
  4. Step 4: Simplify right side
    65,643.56x = 20,497,094,120.00
  5. Step 5: Solve for x
    x = 20,497,094,120.00/65,643.56
  6. Step 6: Final answer
    x = 312,248.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.