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Finding the Third Proportional to 209,169.75 and 430,718.25

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Solution

The third proportional to 209,169.75 and 430,718.25 is: 886,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,169.75 : 430,718.25 = 430,718.25 : x
  2. Step 2: Convert to fraction form
    209,169.75/430,718.25 = 430,718.25/x
  3. Step 3: Cross multiply
    209,169.75x = 430,718.25 × 430,718.25
  4. Step 4: Simplify right side
    209,169.75x = 185,518,210,883.06
  5. Step 5: Solve for x
    x = 185,518,210,883.06/209,169.75
  6. Step 6: Final answer
    x = 886,926.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.