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Finding the Third Proportional to 315,830.63 and 485,944.13

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Solution

The third proportional to 315,830.63 and 485,944.13 is: 747,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,830.63 : 485,944.13 = 485,944.13 : x
  2. Step 2: Convert to fraction form
    315,830.63/485,944.13 = 485,944.13/x
  3. Step 3: Cross multiply
    315,830.63x = 485,944.13 × 485,944.13
  4. Step 4: Simplify right side
    315,830.63x = 236,141,692,622.02
  5. Step 5: Solve for x
    x = 236,141,692,622.02/315,830.63
  6. Step 6: Final answer
    x = 747,684.59

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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.