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Finding the Third Proportional to 323,148 and 690,284

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Solution

The third proportional to 323,148 and 690,284 is: 1,474,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,148 : 690,284 = 690,284 : x
  2. Step 2: Convert to fraction form
    323,148/690,284 = 690,284/x
  3. Step 3: Cross multiply
    323,148x = 690,284 × 690,284
  4. Step 4: Simplify right side
    323,148x = 476,492,000,656
  5. Step 5: Solve for x
    x = 476,492,000,656/323,148
  6. Step 6: Final answer
    x = 1,474,531.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.