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Finding the Third Proportional to 15,859.13 and 21,345.19

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Solution

The third proportional to 15,859.13 and 21,345.19 is: 28,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,859.13 : 21,345.19 = 21,345.19 : x
  2. Step 2: Convert to fraction form
    15,859.13/21,345.19 = 21,345.19/x
  3. Step 3: Cross multiply
    15,859.13x = 21,345.19 × 21,345.19
  4. Step 4: Simplify right side
    15,859.13x = 455,617,029.41
  5. Step 5: Solve for x
    x = 455,617,029.41/15,859.13
  6. Step 6: Final answer
    x = 28,729.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.