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Finding the Third Proportional to 128,425 and 170,406.50

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Solution

The third proportional to 128,425 and 170,406.50 is: 226,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,425 : 170,406.50 = 170,406.50 : x
  2. Step 2: Convert to fraction form
    128,425/170,406.50 = 170,406.50/x
  3. Step 3: Cross multiply
    128,425x = 170,406.50 × 170,406.50
  4. Step 4: Simplify right side
    128,425x = 29,038,375,242.25
  5. Step 5: Solve for x
    x = 29,038,375,242.25/128,425
  6. Step 6: Final answer
    x = 226,111.55

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.