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Finding the Third Proportional to 305,335 and 449,120

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Solution

The third proportional to 305,335 and 449,120 is: 660,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,335 : 449,120 = 449,120 : x
  2. Step 2: Convert to fraction form
    305,335/449,120 = 449,120/x
  3. Step 3: Cross multiply
    305,335x = 449,120 × 449,120
  4. Step 4: Simplify right side
    305,335x = 201,708,774,400
  5. Step 5: Solve for x
    x = 201,708,774,400/305,335
  6. Step 6: Final answer
    x = 660,614.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.