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Finding the Third Proportional to 142,200 and 306,078

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Solution

The third proportional to 142,200 and 306,078 is: 658,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,200 : 306,078 = 306,078 : x
  2. Step 2: Convert to fraction form
    142,200/306,078 = 306,078/x
  3. Step 3: Cross multiply
    142,200x = 306,078 × 306,078
  4. Step 4: Simplify right side
    142,200x = 93,683,742,084
  5. Step 5: Solve for x
    x = 93,683,742,084/142,200
  6. Step 6: Final answer
    x = 658,816.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.