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Finding the Third Proportional to 143,312 and 312,112

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Solution

The third proportional to 143,312 and 312,112 is: 679,733.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,312 : 312,112 = 312,112 : x
  2. Step 2: Convert to fraction form
    143,312/312,112 = 312,112/x
  3. Step 3: Cross multiply
    143,312x = 312,112 × 312,112
  4. Step 4: Simplify right side
    143,312x = 97,413,900,544
  5. Step 5: Solve for x
    x = 97,413,900,544/143,312
  6. Step 6: Final answer
    x = 679,733.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.