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Finding the Third Proportional to 287,832 and 459,828

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Solution

The third proportional to 287,832 and 459,828 is: 734,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,832 : 459,828 = 459,828 : x
  2. Step 2: Convert to fraction form
    287,832/459,828 = 459,828/x
  3. Step 3: Cross multiply
    287,832x = 459,828 × 459,828
  4. Step 4: Simplify right side
    287,832x = 211,441,789,584
  5. Step 5: Solve for x
    x = 211,441,789,584/287,832
  6. Step 6: Final answer
    x = 734,601.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.