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Finding the Third Proportional to 678,874.50 and 1,414,030.50

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Solution

The third proportional to 678,874.50 and 1,414,030.50 is: 2,945,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,874.50 : 1,414,030.50 = 1,414,030.50 : x
  2. Step 2: Convert to fraction form
    678,874.50/1,414,030.50 = 1,414,030.50/x
  3. Step 3: Cross multiply
    678,874.50x = 1,414,030.50 × 1,414,030.50
  4. Step 4: Simplify right side
    678,874.50x = 1,999,482,254,930.25
  5. Step 5: Solve for x
    x = 1,999,482,254,930.25/678,874.50
  6. Step 6: Final answer
    x = 2,945,289.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.