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Finding the Third Proportional to 315,814.50 and 485,433

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Solution

The third proportional to 315,814.50 and 485,433 is: 746,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,814.50 : 485,433 = 485,433 : x
  2. Step 2: Convert to fraction form
    315,814.50/485,433 = 485,433/x
  3. Step 3: Cross multiply
    315,814.50x = 485,433 × 485,433
  4. Step 4: Simplify right side
    315,814.50x = 235,645,197,489
  5. Step 5: Solve for x
    x = 235,645,197,489/315,814.50
  6. Step 6: Final answer
    x = 746,150.66

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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.