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Finding the Third Proportional to 70,646 and 99,025

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Solution

The third proportional to 70,646 and 99,025 is: 138,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,646 : 99,025 = 99,025 : x
  2. Step 2: Convert to fraction form
    70,646/99,025 = 99,025/x
  3. Step 3: Cross multiply
    70,646x = 99,025 × 99,025
  4. Step 4: Simplify right side
    70,646x = 9,805,950,625
  5. Step 5: Solve for x
    x = 9,805,950,625/70,646
  6. Step 6: Final answer
    x = 138,804.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.