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Finding the Third Proportional to 349,747 and 749,107

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Solution

The third proportional to 349,747 and 749,107 is: 1,604,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,747 : 749,107 = 749,107 : x
  2. Step 2: Convert to fraction form
    349,747/749,107 = 749,107/x
  3. Step 3: Cross multiply
    349,747x = 749,107 × 749,107
  4. Step 4: Simplify right side
    349,747x = 561,161,297,449
  5. Step 5: Solve for x
    x = 561,161,297,449/349,747
  6. Step 6: Final answer
    x = 1,604,477.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.