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Finding the Third Proportional to 287,008 and 393,984

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Solution

The third proportional to 287,008 and 393,984 is: 540,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,008 : 393,984 = 393,984 : x
  2. Step 2: Convert to fraction form
    287,008/393,984 = 393,984/x
  3. Step 3: Cross multiply
    287,008x = 393,984 × 393,984
  4. Step 4: Simplify right side
    287,008x = 155,223,392,256
  5. Step 5: Solve for x
    x = 155,223,392,256/287,008
  6. Step 6: Final answer
    x = 540,832.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.