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Finding the Third Proportional to 137,724 and 291,848

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Solution

The third proportional to 137,724 and 291,848 is: 618,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,724 : 291,848 = 291,848 : x
  2. Step 2: Convert to fraction form
    137,724/291,848 = 291,848/x
  3. Step 3: Cross multiply
    137,724x = 291,848 × 291,848
  4. Step 4: Simplify right side
    137,724x = 85,175,255,104
  5. Step 5: Solve for x
    x = 85,175,255,104/137,724
  6. Step 6: Final answer
    x = 618,448.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.