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Finding the Third Proportional to 778,215 and 1,704,057

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Solution

The third proportional to 778,215 and 1,704,057 is: 3,731,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,215 : 1,704,057 = 1,704,057 : x
  2. Step 2: Convert to fraction form
    778,215/1,704,057 = 1,704,057/x
  3. Step 3: Cross multiply
    778,215x = 1,704,057 × 1,704,057
  4. Step 4: Simplify right side
    778,215x = 2,903,810,259,249
  5. Step 5: Solve for x
    x = 2,903,810,259,249/778,215
  6. Step 6: Final answer
    x = 3,731,372.77

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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.