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Finding the Third Proportional to 459,662 and 689,997

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Solution

The third proportional to 459,662 and 689,997 is: 1,035,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,662 : 689,997 = 689,997 : x
  2. Step 2: Convert to fraction form
    459,662/689,997 = 689,997/x
  3. Step 3: Cross multiply
    459,662x = 689,997 × 689,997
  4. Step 4: Simplify right side
    459,662x = 476,095,860,009
  5. Step 5: Solve for x
    x = 476,095,860,009/459,662
  6. Step 6: Final answer
    x = 1,035,752.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.