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Finding the Third Proportional to 20,475 and 31,304.25

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Solution

The third proportional to 20,475 and 31,304.25 is: 47,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475 : 31,304.25 = 31,304.25 : x
  2. Step 2: Convert to fraction form
    20,475/31,304.25 = 31,304.25/x
  3. Step 3: Cross multiply
    20,475x = 31,304.25 × 31,304.25
  4. Step 4: Simplify right side
    20,475x = 979,956,068.06
  5. Step 5: Solve for x
    x = 979,956,068.06/20,475
  6. Step 6: Final answer
    x = 47,861.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.