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Finding the Third Proportional to 163,900.50 and 253,128.75

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Solution

The third proportional to 163,900.50 and 253,128.75 is: 390,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,900.50 : 253,128.75 = 253,128.75 : x
  2. Step 2: Convert to fraction form
    163,900.50/253,128.75 = 253,128.75/x
  3. Step 3: Cross multiply
    163,900.50x = 253,128.75 × 253,128.75
  4. Step 4: Simplify right side
    163,900.50x = 64,074,164,076.56
  5. Step 5: Solve for x
    x = 64,074,164,076.56/163,900.50
  6. Step 6: Final answer
    x = 390,933.30

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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.