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Finding the Third Proportional to 421,116.75 and 647,941.50

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Solution

The third proportional to 421,116.75 and 647,941.50 is: 996,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,116.75 : 647,941.50 = 647,941.50 : x
  2. Step 2: Convert to fraction form
    421,116.75/647,941.50 = 647,941.50/x
  3. Step 3: Cross multiply
    421,116.75x = 647,941.50 × 647,941.50
  4. Step 4: Simplify right side
    421,116.75x = 419,828,187,422.25
  5. Step 5: Solve for x
    x = 419,828,187,422.25/421,116.75
  6. Step 6: Final answer
    x = 996,940.13

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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.