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Finding the Third Proportional to 308,628 and 655,176

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Solution

The third proportional to 308,628 and 655,176 is: 1,390,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,628 : 655,176 = 655,176 : x
  2. Step 2: Convert to fraction form
    308,628/655,176 = 655,176/x
  3. Step 3: Cross multiply
    308,628x = 655,176 × 655,176
  4. Step 4: Simplify right side
    308,628x = 429,255,590,976
  5. Step 5: Solve for x
    x = 429,255,590,976/308,628
  6. Step 6: Final answer
    x = 1,390,851.09

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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.