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Finding the Third Proportional to 280,556.81 and 435,309

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Solution

The third proportional to 280,556.81 and 435,309 is: 675,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,556.81 : 435,309 = 435,309 : x
  2. Step 2: Convert to fraction form
    280,556.81/435,309 = 435,309/x
  3. Step 3: Cross multiply
    280,556.81x = 435,309 × 435,309
  4. Step 4: Simplify right side
    280,556.81x = 189,493,925,481
  5. Step 5: Solve for x
    x = 189,493,925,481/280,556.81
  6. Step 6: Final answer
    x = 675,420.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.