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Finding the Third Proportional to 420,101 and 921,837

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Solution

The third proportional to 420,101 and 921,837 is: 2,022,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,101 : 921,837 = 921,837 : x
  2. Step 2: Convert to fraction form
    420,101/921,837 = 921,837/x
  3. Step 3: Cross multiply
    420,101x = 921,837 × 921,837
  4. Step 4: Simplify right side
    420,101x = 849,783,454,569
  5. Step 5: Solve for x
    x = 849,783,454,569/420,101
  6. Step 6: Final answer
    x = 2,022,807.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.