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Finding the Third Proportional to 387,645.75 and 799,485.19

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Solution

The third proportional to 387,645.75 and 799,485.19 is: 1,648,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,645.75 : 799,485.19 = 799,485.19 : x
  2. Step 2: Convert to fraction form
    387,645.75/799,485.19 = 799,485.19/x
  3. Step 3: Cross multiply
    387,645.75x = 799,485.19 × 799,485.19
  4. Step 4: Simplify right side
    387,645.75x = 639,176,565,031.91
  5. Step 5: Solve for x
    x = 639,176,565,031.91/387,645.75
  6. Step 6: Final answer
    x = 1,648,867.72

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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.