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Finding the Third Proportional to 287,985 and 405,369

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Solution

The third proportional to 287,985 and 405,369 is: 570,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,985 : 405,369 = 405,369 : x
  2. Step 2: Convert to fraction form
    287,985/405,369 = 405,369/x
  3. Step 3: Cross multiply
    287,985x = 405,369 × 405,369
  4. Step 4: Simplify right side
    287,985x = 164,324,026,161
  5. Step 5: Solve for x
    x = 164,324,026,161/287,985
  6. Step 6: Final answer
    x = 570,599.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.