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Finding the Third Proportional to 53,610 and 118,243.50

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Solution

The third proportional to 53,610 and 118,243.50 is: 260,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,610 : 118,243.50 = 118,243.50 : x
  2. Step 2: Convert to fraction form
    53,610/118,243.50 = 118,243.50/x
  3. Step 3: Cross multiply
    53,610x = 118,243.50 × 118,243.50
  4. Step 4: Simplify right side
    53,610x = 13,981,525,292.25
  5. Step 5: Solve for x
    x = 13,981,525,292.25/53,610
  6. Step 6: Final answer
    x = 260,800.70

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.