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Finding the Third Proportional to 65,685 and 143,638.13

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Solution

The third proportional to 65,685 and 143,638.13 is: 314,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,685 : 143,638.13 = 143,638.13 : x
  2. Step 2: Convert to fraction form
    65,685/143,638.13 = 143,638.13/x
  3. Step 3: Cross multiply
    65,685x = 143,638.13 × 143,638.13
  4. Step 4: Simplify right side
    65,685x = 20,631,910,953.52
  5. Step 5: Solve for x
    x = 20,631,910,953.52/65,685
  6. Step 6: Final answer
    x = 314,103.84

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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.