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Finding the Third Proportional to 300,186.84 and 658,776.80

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Solution

The third proportional to 300,186.84 and 658,776.80 is: 1,445,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,186.84 : 658,776.80 = 658,776.80 : x
  2. Step 2: Convert to fraction form
    300,186.84/658,776.80 = 658,776.80/x
  3. Step 3: Cross multiply
    300,186.84x = 658,776.80 × 658,776.80
  4. Step 4: Simplify right side
    300,186.84x = 433,986,868,100.89
  5. Step 5: Solve for x
    x = 433,986,868,100.89/300,186.84
  6. Step 6: Final answer
    x = 1,445,722.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.