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Finding the Third Proportional to 814,450 and 1,242,735

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Solution

The third proportional to 814,450 and 1,242,735 is: 1,896,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,450 : 1,242,735 = 1,242,735 : x
  2. Step 2: Convert to fraction form
    814,450/1,242,735 = 1,242,735/x
  3. Step 3: Cross multiply
    814,450x = 1,242,735 × 1,242,735
  4. Step 4: Simplify right side
    814,450x = 1,544,390,280,225
  5. Step 5: Solve for x
    x = 1,544,390,280,225/814,450
  6. Step 6: Final answer
    x = 1,896,237.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.