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Finding the Third Proportional to 26,720.63 and 42,309

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Solution

The third proportional to 26,720.63 and 42,309 is: 66,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,720.63 : 42,309 = 42,309 : x
  2. Step 2: Convert to fraction form
    26,720.63/42,309 = 42,309/x
  3. Step 3: Cross multiply
    26,720.63x = 42,309 × 42,309
  4. Step 4: Simplify right side
    26,720.63x = 1,790,051,481
  5. Step 5: Solve for x
    x = 1,790,051,481/26,720.63
  6. Step 6: Final answer
    x = 66,991.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.