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Finding the Third Proportional to 840,336 and 1,224,396

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Solution

The third proportional to 840,336 and 1,224,396 is: 1,783,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,336 : 1,224,396 = 1,224,396 : x
  2. Step 2: Convert to fraction form
    840,336/1,224,396 = 1,224,396/x
  3. Step 3: Cross multiply
    840,336x = 1,224,396 × 1,224,396
  4. Step 4: Simplify right side
    840,336x = 1,499,145,564,816
  5. Step 5: Solve for x
    x = 1,499,145,564,816/840,336
  6. Step 6: Final answer
    x = 1,783,983.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.