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Finding the Third Proportional to 459,576 and 689,850

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Solution

The third proportional to 459,576 and 689,850 is: 1,035,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,576 : 689,850 = 689,850 : x
  2. Step 2: Convert to fraction form
    459,576/689,850 = 689,850/x
  3. Step 3: Cross multiply
    459,576x = 689,850 × 689,850
  4. Step 4: Simplify right side
    459,576x = 475,893,022,500
  5. Step 5: Solve for x
    x = 475,893,022,500/459,576
  6. Step 6: Final answer
    x = 1,035,504.51

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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.