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Finding the Third Proportional to 287,718 and 632,538

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Solution

The third proportional to 287,718 and 632,538 is: 1,390,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,718 : 632,538 = 632,538 : x
  2. Step 2: Convert to fraction form
    287,718/632,538 = 632,538/x
  3. Step 3: Cross multiply
    287,718x = 632,538 × 632,538
  4. Step 4: Simplify right side
    287,718x = 400,104,321,444
  5. Step 5: Solve for x
    x = 400,104,321,444/287,718
  6. Step 6: Final answer
    x = 1,390,612.76

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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.