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Finding the Third Proportional to 312,918.19 and 581,139.56

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Solution

The third proportional to 312,918.19 and 581,139.56 is: 1,079,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,918.19 : 581,139.56 = 581,139.56 : x
  2. Step 2: Convert to fraction form
    312,918.19/581,139.56 = 581,139.56/x
  3. Step 3: Cross multiply
    312,918.19x = 581,139.56 × 581,139.56
  4. Step 4: Simplify right side
    312,918.19x = 337,723,191,102.69
  5. Step 5: Solve for x
    x = 337,723,191,102.69/312,918.19
  6. Step 6: Final answer
    x = 1,079,269.93

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.