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Finding the Third Proportional to 313,824 and 464,640

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Solution

The third proportional to 313,824 and 464,640 is: 687,934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,824 : 464,640 = 464,640 : x
  2. Step 2: Convert to fraction form
    313,824/464,640 = 464,640/x
  3. Step 3: Cross multiply
    313,824x = 464,640 × 464,640
  4. Step 4: Simplify right side
    313,824x = 215,890,329,600
  5. Step 5: Solve for x
    x = 215,890,329,600/313,824
  6. Step 6: Final answer
    x = 687,934.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.