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Finding the Third Proportional to 459,564 and 689,832

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Solution

The third proportional to 459,564 and 689,832 is: 1,035,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,564 : 689,832 = 689,832 : x
  2. Step 2: Convert to fraction form
    459,564/689,832 = 689,832/x
  3. Step 3: Cross multiply
    459,564x = 689,832 × 689,832
  4. Step 4: Simplify right side
    459,564x = 475,868,188,224
  5. Step 5: Solve for x
    x = 475,868,188,224/459,564
  6. Step 6: Final answer
    x = 1,035,477.51

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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.