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Finding the Third Proportional to 319,197 and 675,276

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Solution

The third proportional to 319,197 and 675,276 is: 1,428,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,197 : 675,276 = 675,276 : x
  2. Step 2: Convert to fraction form
    319,197/675,276 = 675,276/x
  3. Step 3: Cross multiply
    319,197x = 675,276 × 675,276
  4. Step 4: Simplify right side
    319,197x = 455,997,676,176
  5. Step 5: Solve for x
    x = 455,997,676,176/319,197
  6. Step 6: Final answer
    x = 1,428,577.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.