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Finding the Third Proportional to 308,408 and 713,920

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Solution

The third proportional to 308,408 and 713,920 is: 1,652,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,408 : 713,920 = 713,920 : x
  2. Step 2: Convert to fraction form
    308,408/713,920 = 713,920/x
  3. Step 3: Cross multiply
    308,408x = 713,920 × 713,920
  4. Step 4: Simplify right side
    308,408x = 509,681,766,400
  5. Step 5: Solve for x
    x = 509,681,766,400/308,408
  6. Step 6: Final answer
    x = 1,652,621.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.