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Finding the Third Proportional to 310,938 and 674,364

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Solution

The third proportional to 310,938 and 674,364 is: 1,462,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,938 : 674,364 = 674,364 : x
  2. Step 2: Convert to fraction form
    310,938/674,364 = 674,364/x
  3. Step 3: Cross multiply
    310,938x = 674,364 × 674,364
  4. Step 4: Simplify right side
    310,938x = 454,766,804,496
  5. Step 5: Solve for x
    x = 454,766,804,496/310,938
  6. Step 6: Final answer
    x = 1,462,564.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.