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Finding the Third Proportional to 287,728 and 632,558

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Solution

The third proportional to 287,728 and 632,558 is: 1,390,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,728 : 632,558 = 632,558 : x
  2. Step 2: Convert to fraction form
    287,728/632,558 = 632,558/x
  3. Step 3: Cross multiply
    287,728x = 632,558 × 632,558
  4. Step 4: Simplify right side
    287,728x = 400,129,623,364
  5. Step 5: Solve for x
    x = 400,129,623,364/287,728
  6. Step 6: Final answer
    x = 1,390,652.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.