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Finding the Third Proportional to 66,178 and 142,724

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Solution

The third proportional to 66,178 and 142,724 is: 307,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,178 : 142,724 = 142,724 : x
  2. Step 2: Convert to fraction form
    66,178/142,724 = 142,724/x
  3. Step 3: Cross multiply
    66,178x = 142,724 × 142,724
  4. Step 4: Simplify right side
    66,178x = 20,370,140,176
  5. Step 5: Solve for x
    x = 20,370,140,176/66,178
  6. Step 6: Final answer
    x = 307,808.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.