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Finding the Third Proportional to 128,990.81 and 275,637.94

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Solution

The third proportional to 128,990.81 and 275,637.94 is: 589,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,990.81 : 275,637.94 = 275,637.94 : x
  2. Step 2: Convert to fraction form
    128,990.81/275,637.94 = 275,637.94/x
  3. Step 3: Cross multiply
    128,990.81x = 275,637.94 × 275,637.94
  4. Step 4: Simplify right side
    128,990.81x = 75,976,272,589.25
  5. Step 5: Solve for x
    x = 75,976,272,589.25/128,990.81
  6. Step 6: Final answer
    x = 589,005.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.