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Finding the Third Proportional to 270,556 and 420,570

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Solution

The third proportional to 270,556 and 420,570 is: 653,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,556 : 420,570 = 420,570 : x
  2. Step 2: Convert to fraction form
    270,556/420,570 = 420,570/x
  3. Step 3: Cross multiply
    270,556x = 420,570 × 420,570
  4. Step 4: Simplify right side
    270,556x = 176,879,124,900
  5. Step 5: Solve for x
    x = 176,879,124,900/270,556
  6. Step 6: Final answer
    x = 653,761.61

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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.