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Finding the Third Proportional to 306,002.81 and 657,163.13

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Solution

The third proportional to 306,002.81 and 657,163.13 is: 1,411,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,002.81 : 657,163.13 = 657,163.13 : x
  2. Step 2: Convert to fraction form
    306,002.81/657,163.13 = 657,163.13/x
  3. Step 3: Cross multiply
    306,002.81x = 657,163.13 × 657,163.13
  4. Step 4: Simplify right side
    306,002.81x = 431,863,372,859.77
  5. Step 5: Solve for x
    x = 431,863,372,859.77/306,002.81
  6. Step 6: Final answer
    x = 1,411,305.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.