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Finding the Third Proportional to 65,427.75 and 143,316.84

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Solution

The third proportional to 65,427.75 and 143,316.84 is: 313,929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,427.75 : 143,316.84 = 143,316.84 : x
  2. Step 2: Convert to fraction form
    65,427.75/143,316.84 = 143,316.84/x
  3. Step 3: Cross multiply
    65,427.75x = 143,316.84 × 143,316.84
  4. Step 4: Simplify right side
    65,427.75x = 20,539,717,702.46
  5. Step 5: Solve for x
    x = 20,539,717,702.46/65,427.75
  6. Step 6: Final answer
    x = 313,929.76

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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.