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Finding the Third Proportional to 207,108 and 430,069.50

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Solution

The third proportional to 207,108 and 430,069.50 is: 893,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,108 : 430,069.50 = 430,069.50 : x
  2. Step 2: Convert to fraction form
    207,108/430,069.50 = 430,069.50/x
  3. Step 3: Cross multiply
    207,108x = 430,069.50 × 430,069.50
  4. Step 4: Simplify right side
    207,108x = 184,959,774,830.25
  5. Step 5: Solve for x
    x = 184,959,774,830.25/207,108
  6. Step 6: Final answer
    x = 893,059.54

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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.