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Finding the Third Proportional to 157,284 and 342,215

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Solution

The third proportional to 157,284 and 342,215 is: 744,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,284 : 342,215 = 342,215 : x
  2. Step 2: Convert to fraction form
    157,284/342,215 = 342,215/x
  3. Step 3: Cross multiply
    157,284x = 342,215 × 342,215
  4. Step 4: Simplify right side
    157,284x = 117,111,106,225
  5. Step 5: Solve for x
    x = 117,111,106,225/157,284
  6. Step 6: Final answer
    x = 744,583.72

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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.