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Finding the Third Proportional to 424,972.83 and 921,137.06

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Solution

The third proportional to 424,972.83 and 921,137.06 is: 1,996,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,972.83 : 921,137.06 = 921,137.06 : x
  2. Step 2: Convert to fraction form
    424,972.83/921,137.06 = 921,137.06/x
  3. Step 3: Cross multiply
    424,972.83x = 921,137.06 × 921,137.06
  4. Step 4: Simplify right side
    424,972.83x = 848,493,487,911.13
  5. Step 5: Solve for x
    x = 848,493,487,911.13/424,972.83
  6. Step 6: Final answer
    x = 1,996,582.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.