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Finding the Third Proportional to 310,937 and 674,362

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Solution

The third proportional to 310,937 and 674,362 is: 1,462,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,937 : 674,362 = 674,362 : x
  2. Step 2: Convert to fraction form
    310,937/674,362 = 674,362/x
  3. Step 3: Cross multiply
    310,937x = 674,362 × 674,362
  4. Step 4: Simplify right side
    310,937x = 454,764,107,044
  5. Step 5: Solve for x
    x = 454,764,107,044/310,937
  6. Step 6: Final answer
    x = 1,462,560.28

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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.