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Finding the Third Proportional to 53,580.38 and 116,685

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Solution

The third proportional to 53,580.38 and 116,685 is: 254,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,580.38 : 116,685 = 116,685 : x
  2. Step 2: Convert to fraction form
    53,580.38/116,685 = 116,685/x
  3. Step 3: Cross multiply
    53,580.38x = 116,685 × 116,685
  4. Step 4: Simplify right side
    53,580.38x = 13,615,389,225
  5. Step 5: Solve for x
    x = 13,615,389,225/53,580.38
  6. Step 6: Final answer
    x = 254,111.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.