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Finding the Third Proportional to 199,288 and 430,064

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Solution

The third proportional to 199,288 and 430,064 is: 928,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,288 : 430,064 = 430,064 : x
  2. Step 2: Convert to fraction form
    199,288/430,064 = 430,064/x
  3. Step 3: Cross multiply
    199,288x = 430,064 × 430,064
  4. Step 4: Simplify right side
    199,288x = 184,955,044,096
  5. Step 5: Solve for x
    x = 184,955,044,096/199,288
  6. Step 6: Final answer
    x = 928,079.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.