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Finding the Third Proportional to 315,830.13 and 485,943.69

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Solution

The third proportional to 315,830.13 and 485,943.69 is: 747,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,830.13 : 485,943.69 = 485,943.69 : x
  2. Step 2: Convert to fraction form
    315,830.13/485,943.69 = 485,943.69/x
  3. Step 3: Cross multiply
    315,830.13x = 485,943.69 × 485,943.69
  4. Step 4: Simplify right side
    315,830.13x = 236,141,267,421.10
  5. Step 5: Solve for x
    x = 236,141,267,421.10/315,830.13
  6. Step 6: Final answer
    x = 747,684.43

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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.