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Finding the Third Proportional to 106,433 and 163,643

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Solution

The third proportional to 106,433 and 163,643 is: 251,604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,433 : 163,643 = 163,643 : x
  2. Step 2: Convert to fraction form
    106,433/163,643 = 163,643/x
  3. Step 3: Cross multiply
    106,433x = 163,643 × 163,643
  4. Step 4: Simplify right side
    106,433x = 26,779,031,449
  5. Step 5: Solve for x
    x = 26,779,031,449/106,433
  6. Step 6: Final answer
    x = 251,604.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.