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Finding the Third Proportional to 194,918.63 and 421,822.13

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Solution

The third proportional to 194,918.63 and 421,822.13 is: 912,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,918.63 : 421,822.13 = 421,822.13 : x
  2. Step 2: Convert to fraction form
    194,918.63/421,822.13 = 421,822.13/x
  3. Step 3: Cross multiply
    194,918.63x = 421,822.13 × 421,822.13
  4. Step 4: Simplify right side
    194,918.63x = 177,933,905,139.52
  5. Step 5: Solve for x
    x = 177,933,905,139.52/194,918.63
  6. Step 6: Final answer
    x = 912,862.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.