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Finding the Third Proportional to 85,913 and 129,029

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Solution

The third proportional to 85,913 and 129,029 is: 193,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,913 : 129,029 = 129,029 : x
  2. Step 2: Convert to fraction form
    85,913/129,029 = 129,029/x
  3. Step 3: Cross multiply
    85,913x = 129,029 × 129,029
  4. Step 4: Simplify right side
    85,913x = 16,648,482,841
  5. Step 5: Solve for x
    x = 16,648,482,841/85,913
  6. Step 6: Final answer
    x = 193,783.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.