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Finding the Third Proportional to 683,820 and 922,209

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Solution

The third proportional to 683,820 and 922,209 is: 1,243,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,820 : 922,209 = 922,209 : x
  2. Step 2: Convert to fraction form
    683,820/922,209 = 922,209/x
  3. Step 3: Cross multiply
    683,820x = 922,209 × 922,209
  4. Step 4: Simplify right side
    683,820x = 850,469,439,681
  5. Step 5: Solve for x
    x = 850,469,439,681/683,820
  6. Step 6: Final answer
    x = 1,243,703.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.