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Finding the Third Proportional to 299,709 and 642,166.50

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Solution

The third proportional to 299,709 and 642,166.50 is: 1,375,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,709 : 642,166.50 = 642,166.50 : x
  2. Step 2: Convert to fraction form
    299,709/642,166.50 = 642,166.50/x
  3. Step 3: Cross multiply
    299,709x = 642,166.50 × 642,166.50
  4. Step 4: Simplify right side
    299,709x = 412,377,813,722.25
  5. Step 5: Solve for x
    x = 412,377,813,722.25/299,709
  6. Step 6: Final answer
    x = 1,375,927.36

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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.