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Finding the Third Proportional to 178,267.50 and 371,479.50

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Solution

The third proportional to 178,267.50 and 371,479.50 is: 774,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,267.50 : 371,479.50 = 371,479.50 : x
  2. Step 2: Convert to fraction form
    178,267.50/371,479.50 = 371,479.50/x
  3. Step 3: Cross multiply
    178,267.50x = 371,479.50 × 371,479.50
  4. Step 4: Simplify right side
    178,267.50x = 137,997,018,920.25
  5. Step 5: Solve for x
    x = 137,997,018,920.25/178,267.50
  6. Step 6: Final answer
    x = 774,100.83

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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.