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Finding the Third Proportional to 631,623 and 970,857

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Solution

The third proportional to 631,623 and 970,857 is: 1,492,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,623 : 970,857 = 970,857 : x
  2. Step 2: Convert to fraction form
    631,623/970,857 = 970,857/x
  3. Step 3: Cross multiply
    631,623x = 970,857 × 970,857
  4. Step 4: Simplify right side
    631,623x = 942,563,314,449
  5. Step 5: Solve for x
    x = 942,563,314,449/631,623
  6. Step 6: Final answer
    x = 1,492,287.83

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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.