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Finding the Third Proportional to 442,770 and 968,648

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Solution

The third proportional to 442,770 and 968,648 is: 2,119,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,770 : 968,648 = 968,648 : x
  2. Step 2: Convert to fraction form
    442,770/968,648 = 968,648/x
  3. Step 3: Cross multiply
    442,770x = 968,648 × 968,648
  4. Step 4: Simplify right side
    442,770x = 938,278,947,904
  5. Step 5: Solve for x
    x = 938,278,947,904/442,770
  6. Step 6: Final answer
    x = 2,119,111.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.