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Finding the Third Proportional to 315,640 and 476,732

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Solution

The third proportional to 315,640 and 476,732 is: 720,039.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,640 : 476,732 = 476,732 : x
  2. Step 2: Convert to fraction form
    315,640/476,732 = 476,732/x
  3. Step 3: Cross multiply
    315,640x = 476,732 × 476,732
  4. Step 4: Simplify right side
    315,640x = 227,273,399,824
  5. Step 5: Solve for x
    x = 227,273,399,824/315,640
  6. Step 6: Final answer
    x = 720,039.92

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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.