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Finding the Third Proportional to 149,848 and 210,787

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Solution

The third proportional to 149,848 and 210,787 is: 296,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,848 : 210,787 = 210,787 : x
  2. Step 2: Convert to fraction form
    149,848/210,787 = 210,787/x
  3. Step 3: Cross multiply
    149,848x = 210,787 × 210,787
  4. Step 4: Simplify right side
    149,848x = 44,431,159,369
  5. Step 5: Solve for x
    x = 44,431,159,369/149,848
  6. Step 6: Final answer
    x = 296,508.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.