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Finding the Third Proportional to 306,783 and 662,568

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Solution

The third proportional to 306,783 and 662,568 is: 1,430,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,783 : 662,568 = 662,568 : x
  2. Step 2: Convert to fraction form
    306,783/662,568 = 662,568/x
  3. Step 3: Cross multiply
    306,783x = 662,568 × 662,568
  4. Step 4: Simplify right side
    306,783x = 438,996,354,624
  5. Step 5: Solve for x
    x = 438,996,354,624/306,783
  6. Step 6: Final answer
    x = 1,430,967.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.