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Finding the Third Proportional to 306,500 and 649,488

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Solution

The third proportional to 306,500 and 649,488 is: 1,376,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,500 : 649,488 = 649,488 : x
  2. Step 2: Convert to fraction form
    306,500/649,488 = 649,488/x
  3. Step 3: Cross multiply
    306,500x = 649,488 × 649,488
  4. Step 4: Simplify right side
    306,500x = 421,834,662,144
  5. Step 5: Solve for x
    x = 421,834,662,144/306,500
  6. Step 6: Final answer
    x = 1,376,295.80

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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.