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Finding the Third Proportional to 315,121.50 and 476,433

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Solution

The third proportional to 315,121.50 and 476,433 is: 720,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,121.50 : 476,433 = 476,433 : x
  2. Step 2: Convert to fraction form
    315,121.50/476,433 = 476,433/x
  3. Step 3: Cross multiply
    315,121.50x = 476,433 × 476,433
  4. Step 4: Simplify right side
    315,121.50x = 226,988,403,489
  5. Step 5: Solve for x
    x = 226,988,403,489/315,121.50
  6. Step 6: Final answer
    x = 720,320.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.