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Finding the Third Proportional to 18,109.51 and 27,702.63

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Solution

The third proportional to 18,109.51 and 27,702.63 is: 42,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,109.51 : 27,702.63 = 27,702.63 : x
  2. Step 2: Convert to fraction form
    18,109.51/27,702.63 = 27,702.63/x
  3. Step 3: Cross multiply
    18,109.51x = 27,702.63 × 27,702.63
  4. Step 4: Simplify right side
    18,109.51x = 767,435,864.74
  5. Step 5: Solve for x
    x = 767,435,864.74/18,109.51
  6. Step 6: Final answer
    x = 42,377.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.