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Finding the Third Proportional to 405,335.25 and 879,898.50

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Solution

The third proportional to 405,335.25 and 879,898.50 is: 1,910,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,335.25 : 879,898.50 = 879,898.50 : x
  2. Step 2: Convert to fraction form
    405,335.25/879,898.50 = 879,898.50/x
  3. Step 3: Cross multiply
    405,335.25x = 879,898.50 × 879,898.50
  4. Step 4: Simplify right side
    405,335.25x = 774,221,370,302.25
  5. Step 5: Solve for x
    x = 774,221,370,302.25/405,335.25
  6. Step 6: Final answer
    x = 1,910,076.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.