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Finding the Third Proportional to 390,128 and 582,640

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Solution

The third proportional to 390,128 and 582,640 is: 870,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,128 : 582,640 = 582,640 : x
  2. Step 2: Convert to fraction form
    390,128/582,640 = 582,640/x
  3. Step 3: Cross multiply
    390,128x = 582,640 × 582,640
  4. Step 4: Simplify right side
    390,128x = 339,469,369,600
  5. Step 5: Solve for x
    x = 339,469,369,600/390,128
  6. Step 6: Final answer
    x = 870,148.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.