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Finding the Third Proportional to 310,612.13 and 677,453.25

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Solution

The third proportional to 310,612.13 and 677,453.25 is: 1,477,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,612.13 : 677,453.25 = 677,453.25 : x
  2. Step 2: Convert to fraction form
    310,612.13/677,453.25 = 677,453.25/x
  3. Step 3: Cross multiply
    310,612.13x = 677,453.25 × 677,453.25
  4. Step 4: Simplify right side
    310,612.13x = 458,942,905,935.56
  5. Step 5: Solve for x
    x = 458,942,905,935.56/310,612.13
  6. Step 6: Final answer
    x = 1,477,543.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.