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Finding the Third Proportional to 30,724.31 and 65,718.84

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Solution

The third proportional to 30,724.31 and 65,718.84 is: 140,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.31 : 65,718.84 = 65,718.84 : x
  2. Step 2: Convert to fraction form
    30,724.31/65,718.84 = 65,718.84/x
  3. Step 3: Cross multiply
    30,724.31x = 65,718.84 × 65,718.84
  4. Step 4: Simplify right side
    30,724.31x = 4,318,966,423.84
  5. Step 5: Solve for x
    x = 4,318,966,423.84/30,724.31
  6. Step 6: Final answer
    x = 140,571.62

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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.