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Finding the Third Proportional to 199,535 and 430,722

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Solution

The third proportional to 199,535 and 430,722 is: 929,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,535 : 430,722 = 430,722 : x
  2. Step 2: Convert to fraction form
    199,535/430,722 = 430,722/x
  3. Step 3: Cross multiply
    199,535x = 430,722 × 430,722
  4. Step 4: Simplify right side
    199,535x = 185,521,441,284
  5. Step 5: Solve for x
    x = 185,521,441,284/199,535
  6. Step 6: Final answer
    x = 929,768.92

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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.