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Finding the Third Proportional to 113,590.13 and 178,204.50

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Solution

The third proportional to 113,590.13 and 178,204.50 is: 279,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,590.13 : 178,204.50 = 178,204.50 : x
  2. Step 2: Convert to fraction form
    113,590.13/178,204.50 = 178,204.50/x
  3. Step 3: Cross multiply
    113,590.13x = 178,204.50 × 178,204.50
  4. Step 4: Simplify right side
    113,590.13x = 31,756,843,820.25
  5. Step 5: Solve for x
    x = 31,756,843,820.25/113,590.13
  6. Step 6: Final answer
    x = 279,573.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.