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Finding the Third Proportional to 306,080 and 449,040

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Solution

The third proportional to 306,080 and 449,040 is: 658,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,080 : 449,040 = 449,040 : x
  2. Step 2: Convert to fraction form
    306,080/449,040 = 449,040/x
  3. Step 3: Cross multiply
    306,080x = 449,040 × 449,040
  4. Step 4: Simplify right side
    306,080x = 201,636,921,600
  5. Step 5: Solve for x
    x = 201,636,921,600/306,080
  6. Step 6: Final answer
    x = 658,771.96

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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.