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Finding the Third Proportional to 314,471 and 678,757

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Solution

The third proportional to 314,471 and 678,757 is: 1,465,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,471 : 678,757 = 678,757 : x
  2. Step 2: Convert to fraction form
    314,471/678,757 = 678,757/x
  3. Step 3: Cross multiply
    314,471x = 678,757 × 678,757
  4. Step 4: Simplify right side
    314,471x = 460,711,065,049
  5. Step 5: Solve for x
    x = 460,711,065,049/314,471
  6. Step 6: Final answer
    x = 1,465,035.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.