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Finding the Third Proportional to 163,140.75 and 252,109.13

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Solution

The third proportional to 163,140.75 and 252,109.13 is: 389,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,140.75 : 252,109.13 = 252,109.13 : x
  2. Step 2: Convert to fraction form
    163,140.75/252,109.13 = 252,109.13/x
  3. Step 3: Cross multiply
    163,140.75x = 252,109.13 × 252,109.13
  4. Step 4: Simplify right side
    163,140.75x = 63,559,010,908.27
  5. Step 5: Solve for x
    x = 63,559,010,908.27/163,140.75
  6. Step 6: Final answer
    x = 389,596.17

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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.