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Finding the Third Proportional to 274,972.75 and 402,615.25

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Solution

The third proportional to 274,972.75 and 402,615.25 is: 589,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,972.75 : 402,615.25 = 402,615.25 : x
  2. Step 2: Convert to fraction form
    274,972.75/402,615.25 = 402,615.25/x
  3. Step 3: Cross multiply
    274,972.75x = 402,615.25 × 402,615.25
  4. Step 4: Simplify right side
    274,972.75x = 162,099,039,532.56
  5. Step 5: Solve for x
    x = 162,099,039,532.56/274,972.75
  6. Step 6: Final answer
    x = 589,509.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.