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Finding the Third Proportional to 305,700 and 449,154

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Solution

The third proportional to 305,700 and 449,154 is: 659,925.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,700 : 449,154 = 449,154 : x
  2. Step 2: Convert to fraction form
    305,700/449,154 = 449,154/x
  3. Step 3: Cross multiply
    305,700x = 449,154 × 449,154
  4. Step 4: Simplify right side
    305,700x = 201,739,315,716
  5. Step 5: Solve for x
    x = 201,739,315,716/305,700
  6. Step 6: Final answer
    x = 659,925.80

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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.