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Finding the Third Proportional to 74,565 and 154,152

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Solution

The third proportional to 74,565 and 154,152 is: 318,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,565 : 154,152 = 154,152 : x
  2. Step 2: Convert to fraction form
    74,565/154,152 = 154,152/x
  3. Step 3: Cross multiply
    74,565x = 154,152 × 154,152
  4. Step 4: Simplify right side
    74,565x = 23,762,839,104
  5. Step 5: Solve for x
    x = 23,762,839,104/74,565
  6. Step 6: Final answer
    x = 318,686.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.