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Finding the Third Proportional to 305,272 and 449,070

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Solution

The third proportional to 305,272 and 449,070 is: 660,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,272 : 449,070 = 449,070 : x
  2. Step 2: Convert to fraction form
    305,272/449,070 = 449,070/x
  3. Step 3: Cross multiply
    305,272x = 449,070 × 449,070
  4. Step 4: Simplify right side
    305,272x = 201,663,864,900
  5. Step 5: Solve for x
    x = 201,663,864,900/305,272
  6. Step 6: Final answer
    x = 660,603.87

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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.