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Finding the Third Proportional to 199,509.75 and 430,670.25

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Solution

The third proportional to 199,509.75 and 430,670.25 is: 929,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,509.75 : 430,670.25 = 430,670.25 : x
  2. Step 2: Convert to fraction form
    199,509.75/430,670.25 = 430,670.25/x
  3. Step 3: Cross multiply
    199,509.75x = 430,670.25 × 430,670.25
  4. Step 4: Simplify right side
    199,509.75x = 185,476,864,235.06
  5. Step 5: Solve for x
    x = 185,476,864,235.06/199,509.75
  6. Step 6: Final answer
    x = 929,663.16

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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.