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Finding the Third Proportional to 312,304 and 677,056

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Solution

The third proportional to 312,304 and 677,056 is: 1,467,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,304 : 677,056 = 677,056 : x
  2. Step 2: Convert to fraction form
    312,304/677,056 = 677,056/x
  3. Step 3: Cross multiply
    312,304x = 677,056 × 677,056
  4. Step 4: Simplify right side
    312,304x = 458,404,827,136
  5. Step 5: Solve for x
    x = 458,404,827,136/312,304
  6. Step 6: Final answer
    x = 1,467,816.06

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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.