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Finding the Third Proportional to 288,362 and 632,858

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Solution

The third proportional to 288,362 and 632,858 is: 1,388,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,362 : 632,858 = 632,858 : x
  2. Step 2: Convert to fraction form
    288,362/632,858 = 632,858/x
  3. Step 3: Cross multiply
    288,362x = 632,858 × 632,858
  4. Step 4: Simplify right side
    288,362x = 400,509,248,164
  5. Step 5: Solve for x
    x = 400,509,248,164/288,362
  6. Step 6: Final answer
    x = 1,388,911.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.