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Finding the Third Proportional to 315,830.75 and 485,944.63

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Solution

The third proportional to 315,830.75 and 485,944.63 is: 747,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,830.75 : 485,944.63 = 485,944.63 : x
  2. Step 2: Convert to fraction form
    315,830.75/485,944.63 = 485,944.63/x
  3. Step 3: Cross multiply
    315,830.75x = 485,944.63 × 485,944.63
  4. Step 4: Simplify right side
    315,830.75x = 236,142,178,566.39
  5. Step 5: Solve for x
    x = 236,142,178,566.39/315,830.75
  6. Step 6: Final answer
    x = 747,685.84

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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.