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Finding the Third Proportional to 631,640 and 970,880

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Solution

The third proportional to 631,640 and 970,880 is: 1,492,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,640 : 970,880 = 970,880 : x
  2. Step 2: Convert to fraction form
    631,640/970,880 = 970,880/x
  3. Step 3: Cross multiply
    631,640x = 970,880 × 970,880
  4. Step 4: Simplify right side
    631,640x = 942,607,974,400
  5. Step 5: Solve for x
    x = 942,607,974,400/631,640
  6. Step 6: Final answer
    x = 1,492,318.37

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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.