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Finding the Third Proportional to 142,012 and 306,158

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Solution

The third proportional to 142,012 and 306,158 is: 660,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,012 : 306,158 = 306,158 : x
  2. Step 2: Convert to fraction form
    142,012/306,158 = 306,158/x
  3. Step 3: Cross multiply
    142,012x = 306,158 × 306,158
  4. Step 4: Simplify right side
    142,012x = 93,732,720,964
  5. Step 5: Solve for x
    x = 93,732,720,964/142,012
  6. Step 6: Final answer
    x = 660,033.81

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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.