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Finding the Third Proportional to 35,811 and 78,507

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Solution

The third proportional to 35,811 and 78,507 is: 172,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,811 : 78,507 = 78,507 : x
  2. Step 2: Convert to fraction form
    35,811/78,507 = 78,507/x
  3. Step 3: Cross multiply
    35,811x = 78,507 × 78,507
  4. Step 4: Simplify right side
    35,811x = 6,163,349,049
  5. Step 5: Solve for x
    x = 6,163,349,049/35,811
  6. Step 6: Final answer
    x = 172,107.71

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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.