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Finding the Third Proportional to 395,401.13 and 612,784.88

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Solution

The third proportional to 395,401.13 and 612,784.88 is: 949,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,401.13 : 612,784.88 = 612,784.88 : x
  2. Step 2: Convert to fraction form
    395,401.13/612,784.88 = 612,784.88/x
  3. Step 3: Cross multiply
    395,401.13x = 612,784.88 × 612,784.88
  4. Step 4: Simplify right side
    395,401.13x = 375,505,303,028.77
  5. Step 5: Solve for x
    x = 375,505,303,028.77/395,401.13
  6. Step 6: Final answer
    x = 949,681.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.