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Finding the Third Proportional to 66,811 and 107,457

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Solution

The third proportional to 66,811 and 107,457 is: 172,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,811 : 107,457 = 107,457 : x
  2. Step 2: Convert to fraction form
    66,811/107,457 = 107,457/x
  3. Step 3: Cross multiply
    66,811x = 107,457 × 107,457
  4. Step 4: Simplify right side
    66,811x = 11,547,006,849
  5. Step 5: Solve for x
    x = 11,547,006,849/66,811
  6. Step 6: Final answer
    x = 172,830.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.