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Finding the Third Proportional to 310,643 and 461,589

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Solution

The third proportional to 310,643 and 461,589 is: 685,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,643 : 461,589 = 461,589 : x
  2. Step 2: Convert to fraction form
    310,643/461,589 = 461,589/x
  3. Step 3: Cross multiply
    310,643x = 461,589 × 461,589
  4. Step 4: Simplify right side
    310,643x = 213,064,404,921
  5. Step 5: Solve for x
    x = 213,064,404,921/310,643
  6. Step 6: Final answer
    x = 685,881.88

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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.