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Finding the Third Proportional to 74,160 and 114,840

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Solution

The third proportional to 74,160 and 114,840 is: 177,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,160 : 114,840 = 114,840 : x
  2. Step 2: Convert to fraction form
    74,160/114,840 = 114,840/x
  3. Step 3: Cross multiply
    74,160x = 114,840 × 114,840
  4. Step 4: Simplify right side
    74,160x = 13,188,225,600
  5. Step 5: Solve for x
    x = 13,188,225,600/74,160
  6. Step 6: Final answer
    x = 177,834.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.