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Finding the Third Proportional to 12,990.38 and 19,603.13

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Solution

The third proportional to 12,990.38 and 19,603.13 is: 29,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,990.38 : 19,603.13 = 19,603.13 : x
  2. Step 2: Convert to fraction form
    12,990.38/19,603.13 = 19,603.13/x
  3. Step 3: Cross multiply
    12,990.38x = 19,603.13 × 19,603.13
  4. Step 4: Simplify right side
    12,990.38x = 384,282,509.77
  5. Step 5: Solve for x
    x = 384,282,509.77/12,990.38
  6. Step 6: Final answer
    x = 29,582.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.