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Finding the Third Proportional to 137,712 and 211,741.50

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Solution

The third proportional to 137,712 and 211,741.50 is: 325,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,712 : 211,741.50 = 211,741.50 : x
  2. Step 2: Convert to fraction form
    137,712/211,741.50 = 211,741.50/x
  3. Step 3: Cross multiply
    137,712x = 211,741.50 × 211,741.50
  4. Step 4: Simplify right side
    137,712x = 44,834,462,822.25
  5. Step 5: Solve for x
    x = 44,834,462,822.25/137,712
  6. Step 6: Final answer
    x = 325,566.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.