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Finding the Third Proportional to 76,707 and 164,430

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Solution

The third proportional to 76,707 and 164,430 is: 352,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,707 : 164,430 = 164,430 : x
  2. Step 2: Convert to fraction form
    76,707/164,430 = 164,430/x
  3. Step 3: Cross multiply
    76,707x = 164,430 × 164,430
  4. Step 4: Simplify right side
    76,707x = 27,037,224,900
  5. Step 5: Solve for x
    x = 27,037,224,900/76,707
  6. Step 6: Final answer
    x = 352,474.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.