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Finding the Third Proportional to 163,690 and 252,291

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Solution

The third proportional to 163,690 and 252,291 is: 388,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,690 : 252,291 = 252,291 : x
  2. Step 2: Convert to fraction form
    163,690/252,291 = 252,291/x
  3. Step 3: Cross multiply
    163,690x = 252,291 × 252,291
  4. Step 4: Simplify right side
    163,690x = 63,650,748,681
  5. Step 5: Solve for x
    x = 63,650,748,681/163,690
  6. Step 6: Final answer
    x = 388,849.34

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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.