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Finding the Third Proportional to 199,611 and 291,985.50

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Solution

The third proportional to 199,611 and 291,985.50 is: 427,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,611 : 291,985.50 = 291,985.50 : x
  2. Step 2: Convert to fraction form
    199,611/291,985.50 = 291,985.50/x
  3. Step 3: Cross multiply
    199,611x = 291,985.50 × 291,985.50
  4. Step 4: Simplify right side
    199,611x = 85,255,532,210.25
  5. Step 5: Solve for x
    x = 85,255,532,210.25/199,611
  6. Step 6: Final answer
    x = 427,108.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.