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Finding the Third Proportional to 455,670 and 679,809

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Solution

The third proportional to 455,670 and 679,809 is: 1,014,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,670 : 679,809 = 679,809 : x
  2. Step 2: Convert to fraction form
    455,670/679,809 = 679,809/x
  3. Step 3: Cross multiply
    455,670x = 679,809 × 679,809
  4. Step 4: Simplify right side
    455,670x = 462,140,276,481
  5. Step 5: Solve for x
    x = 462,140,276,481/455,670
  6. Step 6: Final answer
    x = 1,014,199.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.