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Finding the Third Proportional to 315,611 and 488,927.50

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Solution

The third proportional to 315,611 and 488,927.50 is: 757,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,611 : 488,927.50 = 488,927.50 : x
  2. Step 2: Convert to fraction form
    315,611/488,927.50 = 488,927.50/x
  3. Step 3: Cross multiply
    315,611x = 488,927.50 × 488,927.50
  4. Step 4: Simplify right side
    315,611x = 239,050,100,256.25
  5. Step 5: Solve for x
    x = 239,050,100,256.25/315,611
  6. Step 6: Final answer
    x = 757,420.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.