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Finding the Third Proportional to 12,981.38 and 28,365.38

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Solution

The third proportional to 12,981.38 and 28,365.38 is: 61,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.38 : 28,365.38 = 28,365.38 : x
  2. Step 2: Convert to fraction form
    12,981.38/28,365.38 = 28,365.38/x
  3. Step 3: Cross multiply
    12,981.38x = 28,365.38 × 28,365.38
  4. Step 4: Simplify right side
    12,981.38x = 804,594,498.89
  5. Step 5: Solve for x
    x = 804,594,498.89/12,981.38
  6. Step 6: Final answer
    x = 61,980.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.