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Finding the Third Proportional to 120,983.63 and 187,717.50

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Solution

The third proportional to 120,983.63 and 187,717.50 is: 291,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,983.63 : 187,717.50 = 187,717.50 : x
  2. Step 2: Convert to fraction form
    120,983.63/187,717.50 = 187,717.50/x
  3. Step 3: Cross multiply
    120,983.63x = 187,717.50 × 187,717.50
  4. Step 4: Simplify right side
    120,983.63x = 35,237,859,806.25
  5. Step 5: Solve for x
    x = 35,237,859,806.25/120,983.63
  6. Step 6: Final answer
    x = 291,261.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.