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Finding the Third Proportional to 301,320 and 648,765

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Solution

The third proportional to 301,320 and 648,765 is: 1,396,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,320 : 648,765 = 648,765 : x
  2. Step 2: Convert to fraction form
    301,320/648,765 = 648,765/x
  3. Step 3: Cross multiply
    301,320x = 648,765 × 648,765
  4. Step 4: Simplify right side
    301,320x = 420,896,025,225
  5. Step 5: Solve for x
    x = 420,896,025,225/301,320
  6. Step 6: Final answer
    x = 1,396,840.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.