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Finding the Third Proportional to 343,836 and 747,450

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Solution

The third proportional to 343,836 and 747,450 is: 1,624,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,836 : 747,450 = 747,450 : x
  2. Step 2: Convert to fraction form
    343,836/747,450 = 747,450/x
  3. Step 3: Cross multiply
    343,836x = 747,450 × 747,450
  4. Step 4: Simplify right side
    343,836x = 558,681,502,500
  5. Step 5: Solve for x
    x = 558,681,502,500/343,836
  6. Step 6: Final answer
    x = 1,624,848.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.