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Finding the Third Proportional to 143,420 and 315,148

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Solution

The third proportional to 143,420 and 315,148 is: 692,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,420 : 315,148 = 315,148 : x
  2. Step 2: Convert to fraction form
    143,420/315,148 = 315,148/x
  3. Step 3: Cross multiply
    143,420x = 315,148 × 315,148
  4. Step 4: Simplify right side
    143,420x = 99,318,261,904
  5. Step 5: Solve for x
    x = 99,318,261,904/143,420
  6. Step 6: Final answer
    x = 692,499.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.