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Finding the Third Proportional to 129,853.13 and 166,075.31

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Solution

The third proportional to 129,853.13 and 166,075.31 is: 212,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,853.13 : 166,075.31 = 166,075.31 : x
  2. Step 2: Convert to fraction form
    129,853.13/166,075.31 = 166,075.31/x
  3. Step 3: Cross multiply
    129,853.13x = 166,075.31 × 166,075.31
  4. Step 4: Simplify right side
    129,853.13x = 27,581,009,421.97
  5. Step 5: Solve for x
    x = 27,581,009,421.97/129,853.13
  6. Step 6: Final answer
    x = 212,401.58

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.