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Finding the Third Proportional to 219,066.75 and 319,979.25

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Solution

The third proportional to 219,066.75 and 319,979.25 is: 467,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,066.75 : 319,979.25 = 319,979.25 : x
  2. Step 2: Convert to fraction form
    219,066.75/319,979.25 = 319,979.25/x
  3. Step 3: Cross multiply
    219,066.75x = 319,979.25 × 319,979.25
  4. Step 4: Simplify right side
    219,066.75x = 102,386,720,430.56
  5. Step 5: Solve for x
    x = 102,386,720,430.56/219,066.75
  6. Step 6: Final answer
    x = 467,376.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.