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Finding the Third Proportional to 10,643.63 and 28,837.13

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Solution

The third proportional to 10,643.63 and 28,837.13 is: 78,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.63 : 28,837.13 = 28,837.13 : x
  2. Step 2: Convert to fraction form
    10,643.63/28,837.13 = 28,837.13/x
  3. Step 3: Cross multiply
    10,643.63x = 28,837.13 × 28,837.13
  4. Step 4: Simplify right side
    10,643.63x = 831,579,778.27
  5. Step 5: Solve for x
    x = 831,579,778.27/10,643.63
  6. Step 6: Final answer
    x = 78,129.38

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.