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Finding the Third Proportional to 379,764 and 819,572

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Solution

The third proportional to 379,764 and 819,572 is: 1,768,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,764 : 819,572 = 819,572 : x
  2. Step 2: Convert to fraction form
    379,764/819,572 = 819,572/x
  3. Step 3: Cross multiply
    379,764x = 819,572 × 819,572
  4. Step 4: Simplify right side
    379,764x = 671,698,263,184
  5. Step 5: Solve for x
    x = 671,698,263,184/379,764
  6. Step 6: Final answer
    x = 1,768,725.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.