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Finding the Third Proportional to 274,983 and 577,641

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Solution

The third proportional to 274,983 and 577,641 is: 1,213,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,983 : 577,641 = 577,641 : x
  2. Step 2: Convert to fraction form
    274,983/577,641 = 577,641/x
  3. Step 3: Cross multiply
    274,983x = 577,641 × 577,641
  4. Step 4: Simplify right side
    274,983x = 333,669,124,881
  5. Step 5: Solve for x
    x = 333,669,124,881/274,983
  6. Step 6: Final answer
    x = 1,213,417.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.