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Finding the Third Proportional to 199,510 and 430,672

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Solution

The third proportional to 199,510 and 430,672 is: 929,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,510 : 430,672 = 430,672 : x
  2. Step 2: Convert to fraction form
    199,510/430,672 = 430,672/x
  3. Step 3: Cross multiply
    199,510x = 430,672 × 430,672
  4. Step 4: Simplify right side
    199,510x = 185,478,371,584
  5. Step 5: Solve for x
    x = 185,478,371,584/199,510
  6. Step 6: Final answer
    x = 929,669.55

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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.