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Finding the Third Proportional to 333,747 and 691,148

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Solution

The third proportional to 333,747 and 691,148 is: 1,431,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,747 : 691,148 = 691,148 : x
  2. Step 2: Convert to fraction form
    333,747/691,148 = 691,148/x
  3. Step 3: Cross multiply
    333,747x = 691,148 × 691,148
  4. Step 4: Simplify right side
    333,747x = 477,685,557,904
  5. Step 5: Solve for x
    x = 477,685,557,904/333,747
  6. Step 6: Final answer
    x = 1,431,280.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.