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Finding the Third Proportional to 260,556.75 and 390,835.13

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Solution

The third proportional to 260,556.75 and 390,835.13 is: 586,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,556.75 : 390,835.13 = 390,835.13 : x
  2. Step 2: Convert to fraction form
    260,556.75/390,835.13 = 390,835.13/x
  3. Step 3: Cross multiply
    260,556.75x = 390,835.13 × 390,835.13
  4. Step 4: Simplify right side
    260,556.75x = 152,752,094,933.77
  5. Step 5: Solve for x
    x = 152,752,094,933.77/260,556.75
  6. Step 6: Final answer
    x = 586,252.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.