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Finding the Third Proportional to 306,104 and 649,260

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Solution

The third proportional to 306,104 and 649,260 is: 1,377,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,104 : 649,260 = 649,260 : x
  2. Step 2: Convert to fraction form
    306,104/649,260 = 649,260/x
  3. Step 3: Cross multiply
    306,104x = 649,260 × 649,260
  4. Step 4: Simplify right side
    306,104x = 421,538,547,600
  5. Step 5: Solve for x
    x = 421,538,547,600/306,104
  6. Step 6: Final answer
    x = 1,377,108.92

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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.