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Finding the Third Proportional to 99,644 and 145,634

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Solution

The third proportional to 99,644 and 145,634 is: 212,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,644 : 145,634 = 145,634 : x
  2. Step 2: Convert to fraction form
    99,644/145,634 = 145,634/x
  3. Step 3: Cross multiply
    99,644x = 145,634 × 145,634
  4. Step 4: Simplify right side
    99,644x = 21,209,261,956
  5. Step 5: Solve for x
    x = 21,209,261,956/99,644
  6. Step 6: Final answer
    x = 212,850.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.