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Finding the Third Proportional to 393,588 and 552,294

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Solution

The third proportional to 393,588 and 552,294 is: 774,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,588 : 552,294 = 552,294 : x
  2. Step 2: Convert to fraction form
    393,588/552,294 = 552,294/x
  3. Step 3: Cross multiply
    393,588x = 552,294 × 552,294
  4. Step 4: Simplify right side
    393,588x = 305,028,662,436
  5. Step 5: Solve for x
    x = 305,028,662,436/393,588
  6. Step 6: Final answer
    x = 774,994.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.