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Finding the Third Proportional to 149,848 and 318,770

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Solution

The third proportional to 149,848 and 318,770 is: 678,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,848 : 318,770 = 318,770 : x
  2. Step 2: Convert to fraction form
    149,848/318,770 = 318,770/x
  3. Step 3: Cross multiply
    149,848x = 318,770 × 318,770
  4. Step 4: Simplify right side
    149,848x = 101,614,312,900
  5. Step 5: Solve for x
    x = 101,614,312,900/149,848
  6. Step 6: Final answer
    x = 678,115.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.