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Finding the Third Proportional to 194,319.75 and 421,830.56

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Solution

The third proportional to 194,319.75 and 421,830.56 is: 915,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,319.75 : 421,830.56 = 421,830.56 : x
  2. Step 2: Convert to fraction form
    194,319.75/421,830.56 = 421,830.56/x
  3. Step 3: Cross multiply
    194,319.75x = 421,830.56 × 421,830.56
  4. Step 4: Simplify right side
    194,319.75x = 177,941,023,459.07
  5. Step 5: Solve for x
    x = 177,941,023,459.07/194,319.75
  6. Step 6: Final answer
    x = 915,712.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.