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Finding the Third Proportional to 305,997 and 430,147.50

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Solution

The third proportional to 305,997 and 430,147.50 is: 604,668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,997 : 430,147.50 = 430,147.50 : x
  2. Step 2: Convert to fraction form
    305,997/430,147.50 = 430,147.50/x
  3. Step 3: Cross multiply
    305,997x = 430,147.50 × 430,147.50
  4. Step 4: Simplify right side
    305,997x = 185,026,871,756.25
  5. Step 5: Solve for x
    x = 185,026,871,756.25/305,997
  6. Step 6: Final answer
    x = 604,668.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.