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Finding the Third Proportional to 286,879 and 421,570

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Solution

The third proportional to 286,879 and 421,570 is: 619,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,879 : 421,570 = 421,570 : x
  2. Step 2: Convert to fraction form
    286,879/421,570 = 421,570/x
  3. Step 3: Cross multiply
    286,879x = 421,570 × 421,570
  4. Step 4: Simplify right side
    286,879x = 177,721,264,900
  5. Step 5: Solve for x
    x = 177,721,264,900/286,879
  6. Step 6: Final answer
    x = 619,499.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.