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Finding the Third Proportional to 421,293 and 877,572

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Solution

The third proportional to 421,293 and 877,572 is: 1,828,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,293 : 877,572 = 877,572 : x
  2. Step 2: Convert to fraction form
    421,293/877,572 = 877,572/x
  3. Step 3: Cross multiply
    421,293x = 877,572 × 877,572
  4. Step 4: Simplify right side
    421,293x = 770,132,615,184
  5. Step 5: Solve for x
    x = 770,132,615,184/421,293
  6. Step 6: Final answer
    x = 1,828,021.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.