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Finding the Third Proportional to 287,679 and 451,284

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Solution

The third proportional to 287,679 and 451,284 is: 707,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,679 : 451,284 = 451,284 : x
  2. Step 2: Convert to fraction form
    287,679/451,284 = 451,284/x
  3. Step 3: Cross multiply
    287,679x = 451,284 × 451,284
  4. Step 4: Simplify right side
    287,679x = 203,657,248,656
  5. Step 5: Solve for x
    x = 203,657,248,656/287,679
  6. Step 6: Final answer
    x = 707,932.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.