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Finding the Third Proportional to 315,803.81 and 485,420.34

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Solution

The third proportional to 315,803.81 and 485,420.34 is: 746,137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,803.81 : 485,420.34 = 485,420.34 : x
  2. Step 2: Convert to fraction form
    315,803.81/485,420.34 = 485,420.34/x
  3. Step 3: Cross multiply
    315,803.81x = 485,420.34 × 485,420.34
  4. Step 4: Simplify right side
    315,803.81x = 235,632,910,126.37
  5. Step 5: Solve for x
    x = 235,632,910,126.37/315,803.81
  6. Step 6: Final answer
    x = 746,137.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.