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Finding the Third Proportional to 208,363.50 and 315,451.50

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Solution

The third proportional to 208,363.50 and 315,451.50 is: 477,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,363.50 : 315,451.50 = 315,451.50 : x
  2. Step 2: Convert to fraction form
    208,363.50/315,451.50 = 315,451.50/x
  3. Step 3: Cross multiply
    208,363.50x = 315,451.50 × 315,451.50
  4. Step 4: Simplify right side
    208,363.50x = 99,509,648,852.25
  5. Step 5: Solve for x
    x = 99,509,648,852.25/208,363.50
  6. Step 6: Final answer
    x = 477,577.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.