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Finding the Third Proportional to 157,312 and 342,268

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Solution

The third proportional to 157,312 and 342,268 is: 744,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,312 : 342,268 = 342,268 : x
  2. Step 2: Convert to fraction form
    157,312/342,268 = 342,268/x
  3. Step 3: Cross multiply
    157,312x = 342,268 × 342,268
  4. Step 4: Simplify right side
    157,312x = 117,147,383,824
  5. Step 5: Solve for x
    x = 117,147,383,824/157,312
  6. Step 6: Final answer
    x = 744,681.80

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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.