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Finding the Third Proportional to 300,926.07 and 440,313.15

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Solution

The third proportional to 300,926.07 and 440,313.15 is: 644,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,926.07 : 440,313.15 = 440,313.15 : x
  2. Step 2: Convert to fraction form
    300,926.07/440,313.15 = 440,313.15/x
  3. Step 3: Cross multiply
    300,926.07x = 440,313.15 × 440,313.15
  4. Step 4: Simplify right side
    300,926.07x = 193,875,672,126.89
  5. Step 5: Solve for x
    x = 193,875,672,126.89/300,926.07
  6. Step 6: Final answer
    x = 644,263.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.