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Finding the Third Proportional to 295,848.50 and 639,009

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Solution

The third proportional to 295,848.50 and 639,009 is: 1,380,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,848.50 : 639,009 = 639,009 : x
  2. Step 2: Convert to fraction form
    295,848.50/639,009 = 639,009/x
  3. Step 3: Cross multiply
    295,848.50x = 639,009 × 639,009
  4. Step 4: Simplify right side
    295,848.50x = 408,332,502,081
  5. Step 5: Solve for x
    x = 408,332,502,081/295,848.50
  6. Step 6: Final answer
    x = 1,380,208.12

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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.