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Finding the Third Proportional to 134,820 and 211,474.50

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Solution

The third proportional to 134,820 and 211,474.50 is: 331,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,820 : 211,474.50 = 211,474.50 : x
  2. Step 2: Convert to fraction form
    134,820/211,474.50 = 211,474.50/x
  3. Step 3: Cross multiply
    134,820x = 211,474.50 × 211,474.50
  4. Step 4: Simplify right side
    134,820x = 44,721,464,150.25
  5. Step 5: Solve for x
    x = 44,721,464,150.25/134,820
  6. Step 6: Final answer
    x = 331,712.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.