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Finding the Third Proportional to 196,213.50 and 423,787.50

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Solution

The third proportional to 196,213.50 and 423,787.50 is: 915,308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,213.50 : 423,787.50 = 423,787.50 : x
  2. Step 2: Convert to fraction form
    196,213.50/423,787.50 = 423,787.50/x
  3. Step 3: Cross multiply
    196,213.50x = 423,787.50 × 423,787.50
  4. Step 4: Simplify right side
    196,213.50x = 179,595,845,156.25
  5. Step 5: Solve for x
    x = 179,595,845,156.25/196,213.50
  6. Step 6: Final answer
    x = 915,308.30

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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.