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Finding the Third Proportional to 157,282.50 and 342,212

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Solution

The third proportional to 157,282.50 and 342,212 is: 744,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,282.50 : 342,212 = 342,212 : x
  2. Step 2: Convert to fraction form
    157,282.50/342,212 = 342,212/x
  3. Step 3: Cross multiply
    157,282.50x = 342,212 × 342,212
  4. Step 4: Simplify right side
    157,282.50x = 117,109,052,944
  5. Step 5: Solve for x
    x = 117,109,052,944/157,282.50
  6. Step 6: Final answer
    x = 744,577.77

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