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Finding the Third Proportional to 315,709.50 and 561,295.50

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Solution

The third proportional to 315,709.50 and 561,295.50 is: 997,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,709.50 : 561,295.50 = 561,295.50 : x
  2. Step 2: Convert to fraction form
    315,709.50/561,295.50 = 561,295.50/x
  3. Step 3: Cross multiply
    315,709.50x = 561,295.50 × 561,295.50
  4. Step 4: Simplify right side
    315,709.50x = 315,052,638,320.25
  5. Step 5: Solve for x
    x = 315,052,638,320.25/315,709.50
  6. Step 6: Final answer
    x = 997,919.41

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.