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Finding the Third Proportional to 223,143 and 312,106.50

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Solution

The third proportional to 223,143 and 312,106.50 is: 436,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,143 : 312,106.50 = 312,106.50 : x
  2. Step 2: Convert to fraction form
    223,143/312,106.50 = 312,106.50/x
  3. Step 3: Cross multiply
    223,143x = 312,106.50 × 312,106.50
  4. Step 4: Simplify right side
    223,143x = 97,410,467,342.25
  5. Step 5: Solve for x
    x = 97,410,467,342.25/223,143
  6. Step 6: Final answer
    x = 436,538.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.