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Finding the Third Proportional to 313,561.13 and 671,393.81

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Solution

The third proportional to 313,561.13 and 671,393.81 is: 1,437,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,561.13 : 671,393.81 = 671,393.81 : x
  2. Step 2: Convert to fraction form
    313,561.13/671,393.81 = 671,393.81/x
  3. Step 3: Cross multiply
    313,561.13x = 671,393.81 × 671,393.81
  4. Step 4: Simplify right side
    313,561.13x = 450,769,651,463.29
  5. Step 5: Solve for x
    x = 450,769,651,463.29/313,561.13
  6. Step 6: Final answer
    x = 1,437,581.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.