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Finding the Third Proportional to 314,304 and 678,396

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Solution

The third proportional to 314,304 and 678,396 is: 1,464,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,304 : 678,396 = 678,396 : x
  2. Step 2: Convert to fraction form
    314,304/678,396 = 678,396/x
  3. Step 3: Cross multiply
    314,304x = 678,396 × 678,396
  4. Step 4: Simplify right side
    314,304x = 460,221,132,816
  5. Step 5: Solve for x
    x = 460,221,132,816/314,304
  6. Step 6: Final answer
    x = 1,464,254.78

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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.