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Finding the Third Proportional to 137,301.75 and 289,365.75

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Solution

The third proportional to 137,301.75 and 289,365.75 is: 609,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,301.75 : 289,365.75 = 289,365.75 : x
  2. Step 2: Convert to fraction form
    137,301.75/289,365.75 = 289,365.75/x
  3. Step 3: Cross multiply
    137,301.75x = 289,365.75 × 289,365.75
  4. Step 4: Simplify right side
    137,301.75x = 83,732,537,273.06
  5. Step 5: Solve for x
    x = 83,732,537,273.06/137,301.75
  6. Step 6: Final answer
    x = 609,843.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.