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Finding the Third Proportional to 12,948.75 and 20,071.13

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Solution

The third proportional to 12,948.75 and 20,071.13 is: 31,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948.75 : 20,071.13 = 20,071.13 : x
  2. Step 2: Convert to fraction form
    12,948.75/20,071.13 = 20,071.13/x
  3. Step 3: Cross multiply
    12,948.75x = 20,071.13 × 20,071.13
  4. Step 4: Simplify right side
    12,948.75x = 402,850,058.77
  5. Step 5: Solve for x
    x = 402,850,058.77/12,948.75
  6. Step 6: Final answer
    x = 31,111.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.