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Finding the Third Proportional to 142,706.50 and 222,230.25

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Solution

The third proportional to 142,706.50 and 222,230.25 is: 346,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,706.50 : 222,230.25 = 222,230.25 : x
  2. Step 2: Convert to fraction form
    142,706.50/222,230.25 = 222,230.25/x
  3. Step 3: Cross multiply
    142,706.50x = 222,230.25 × 222,230.25
  4. Step 4: Simplify right side
    142,706.50x = 49,386,284,015.06
  5. Step 5: Solve for x
    x = 49,386,284,015.06/142,706.50
  6. Step 6: Final answer
    x = 346,068.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.