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Finding the Third Proportional to 99,646 and 145,637

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Solution

The third proportional to 99,646 and 145,637 is: 212,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,646 : 145,637 = 145,637 : x
  2. Step 2: Convert to fraction form
    99,646/145,637 = 145,637/x
  3. Step 3: Cross multiply
    99,646x = 145,637 × 145,637
  4. Step 4: Simplify right side
    99,646x = 21,210,135,769
  5. Step 5: Solve for x
    x = 21,210,135,769/99,646
  6. Step 6: Final answer
    x = 212,854.86

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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.