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Finding the Third Proportional to 137,153 and 205,730

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Solution

The third proportional to 137,153 and 205,730 is: 308,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,153 : 205,730 = 205,730 : x
  2. Step 2: Convert to fraction form
    137,153/205,730 = 205,730/x
  3. Step 3: Cross multiply
    137,153x = 205,730 × 205,730
  4. Step 4: Simplify right side
    137,153x = 42,324,832,900
  5. Step 5: Solve for x
    x = 42,324,832,900/137,153
  6. Step 6: Final answer
    x = 308,595.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.