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Finding the Third Proportional to 424,917 and 912,991.50

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Solution

The third proportional to 424,917 and 912,991.50 is: 1,961,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,917 : 912,991.50 = 912,991.50 : x
  2. Step 2: Convert to fraction form
    424,917/912,991.50 = 912,991.50/x
  3. Step 3: Cross multiply
    424,917x = 912,991.50 × 912,991.50
  4. Step 4: Simplify right side
    424,917x = 833,553,479,072.25
  5. Step 5: Solve for x
    x = 833,553,479,072.25/424,917
  6. Step 6: Final answer
    x = 1,961,685.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.