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Finding the Third Proportional to 315,728 and 660,640

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Solution

The third proportional to 315,728 and 660,640 is: 1,382,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,728 : 660,640 = 660,640 : x
  2. Step 2: Convert to fraction form
    315,728/660,640 = 660,640/x
  3. Step 3: Cross multiply
    315,728x = 660,640 × 660,640
  4. Step 4: Simplify right side
    315,728x = 436,445,209,600
  5. Step 5: Solve for x
    x = 436,445,209,600/315,728
  6. Step 6: Final answer
    x = 1,382,345.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.