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Finding the Third Proportional to 103,481 and 164,132

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Solution

The third proportional to 103,481 and 164,132 is: 260,331.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,481 : 164,132 = 164,132 : x
  2. Step 2: Convert to fraction form
    103,481/164,132 = 164,132/x
  3. Step 3: Cross multiply
    103,481x = 164,132 × 164,132
  4. Step 4: Simplify right side
    103,481x = 26,939,313,424
  5. Step 5: Solve for x
    x = 26,939,313,424/103,481
  6. Step 6: Final answer
    x = 260,331.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.