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Finding the Third Proportional to 349,641 and 493,515

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Solution

The third proportional to 349,641 and 493,515 is: 696,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,641 : 493,515 = 493,515 : x
  2. Step 2: Convert to fraction form
    349,641/493,515 = 493,515/x
  3. Step 3: Cross multiply
    349,641x = 493,515 × 493,515
  4. Step 4: Simplify right side
    349,641x = 243,557,055,225
  5. Step 5: Solve for x
    x = 243,557,055,225/349,641
  6. Step 6: Final answer
    x = 696,591.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.