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Finding the Third Proportional to 300,042.50 and 708,278.75

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Solution

The third proportional to 300,042.50 and 708,278.75 is: 1,671,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,042.50 : 708,278.75 = 708,278.75 : x
  2. Step 2: Convert to fraction form
    300,042.50/708,278.75 = 708,278.75/x
  3. Step 3: Cross multiply
    300,042.50x = 708,278.75 × 708,278.75
  4. Step 4: Simplify right side
    300,042.50x = 501,658,787,701.56
  5. Step 5: Solve for x
    x = 501,658,787,701.56/300,042.50
  6. Step 6: Final answer
    x = 1,671,959.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.