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Finding the Third Proportional to 180,063 and 391,837.50

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Solution

The third proportional to 180,063 and 391,837.50 is: 852,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,063 : 391,837.50 = 391,837.50 : x
  2. Step 2: Convert to fraction form
    180,063/391,837.50 = 391,837.50/x
  3. Step 3: Cross multiply
    180,063x = 391,837.50 × 391,837.50
  4. Step 4: Simplify right side
    180,063x = 153,536,626,406.25
  5. Step 5: Solve for x
    x = 153,536,626,406.25/180,063
  6. Step 6: Final answer
    x = 852,682.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.