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Finding the Third Proportional to 19,842.75 and 31,903.13

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Solution

The third proportional to 19,842.75 and 31,903.13 is: 51,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.75 : 31,903.13 = 31,903.13 : x
  2. Step 2: Convert to fraction form
    19,842.75/31,903.13 = 31,903.13/x
  3. Step 3: Cross multiply
    19,842.75x = 31,903.13 × 31,903.13
  4. Step 4: Simplify right side
    19,842.75x = 1,017,809,384.77
  5. Step 5: Solve for x
    x = 1,017,809,384.77/19,842.75
  6. Step 6: Final answer
    x = 51,293.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.