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Finding the Third Proportional to 199,534 and 430,720

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Solution

The third proportional to 199,534 and 430,720 is: 929,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,534 : 430,720 = 430,720 : x
  2. Step 2: Convert to fraction form
    199,534/430,720 = 430,720/x
  3. Step 3: Cross multiply
    199,534x = 430,720 × 430,720
  4. Step 4: Simplify right side
    199,534x = 185,519,718,400
  5. Step 5: Solve for x
    x = 185,519,718,400/199,534
  6. Step 6: Final answer
    x = 929,764.94

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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.