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Finding the Third Proportional to 312,882.75 and 670,047.19

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Solution

The third proportional to 312,882.75 and 670,047.19 is: 1,434,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,882.75 : 670,047.19 = 670,047.19 : x
  2. Step 2: Convert to fraction form
    312,882.75/670,047.19 = 670,047.19/x
  3. Step 3: Cross multiply
    312,882.75x = 670,047.19 × 670,047.19
  4. Step 4: Simplify right side
    312,882.75x = 448,963,233,476.66
  5. Step 5: Solve for x
    x = 448,963,233,476.66/312,882.75
  6. Step 6: Final answer
    x = 1,434,924.85

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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.