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Finding the Third Proportional to 286,011 and 427,504

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Solution

The third proportional to 286,011 and 427,504 is: 638,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,011 : 427,504 = 427,504 : x
  2. Step 2: Convert to fraction form
    286,011/427,504 = 427,504/x
  3. Step 3: Cross multiply
    286,011x = 427,504 × 427,504
  4. Step 4: Simplify right side
    286,011x = 182,759,670,016
  5. Step 5: Solve for x
    x = 182,759,670,016/286,011
  6. Step 6: Final answer
    x = 638,995.25

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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.