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Finding the Third Proportional to 66,796 and 102,712

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Solution

The third proportional to 66,796 and 102,712 is: 157,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,796 : 102,712 = 102,712 : x
  2. Step 2: Convert to fraction form
    66,796/102,712 = 102,712/x
  3. Step 3: Cross multiply
    66,796x = 102,712 × 102,712
  4. Step 4: Simplify right side
    66,796x = 10,549,754,944
  5. Step 5: Solve for x
    x = 10,549,754,944/66,796
  6. Step 6: Final answer
    x = 157,939.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.