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Finding the Third Proportional to 421,107.75 and 647,926.50

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Solution

The third proportional to 421,107.75 and 647,926.50 is: 996,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,107.75 : 647,926.50 = 647,926.50 : x
  2. Step 2: Convert to fraction form
    421,107.75/647,926.50 = 647,926.50/x
  3. Step 3: Cross multiply
    421,107.75x = 647,926.50 × 647,926.50
  4. Step 4: Simplify right side
    421,107.75x = 419,808,749,402.25
  5. Step 5: Solve for x
    x = 419,808,749,402.25/421,107.75
  6. Step 6: Final answer
    x = 996,915.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.