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Finding the Third Proportional to 58,140 and 135,954

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Solution

The third proportional to 58,140 and 135,954 is: 317,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,140 : 135,954 = 135,954 : x
  2. Step 2: Convert to fraction form
    58,140/135,954 = 135,954/x
  3. Step 3: Cross multiply
    58,140x = 135,954 × 135,954
  4. Step 4: Simplify right side
    58,140x = 18,483,490,116
  5. Step 5: Solve for x
    x = 18,483,490,116/58,140
  6. Step 6: Final answer
    x = 317,913.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.