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Finding the Third Proportional to 163,654.50 and 253,994.50

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Solution

The third proportional to 163,654.50 and 253,994.50 is: 394,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,654.50 : 253,994.50 = 253,994.50 : x
  2. Step 2: Convert to fraction form
    163,654.50/253,994.50 = 253,994.50/x
  3. Step 3: Cross multiply
    163,654.50x = 253,994.50 × 253,994.50
  4. Step 4: Simplify right side
    163,654.50x = 64,513,206,030.25
  5. Step 5: Solve for x
    x = 64,513,206,030.25/163,654.50
  6. Step 6: Final answer
    x = 394,203.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.