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Finding the Third Proportional to 274,725 and 578,970

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Solution

The third proportional to 274,725 and 578,970 is: 1,220,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,725 : 578,970 = 578,970 : x
  2. Step 2: Convert to fraction form
    274,725/578,970 = 578,970/x
  3. Step 3: Cross multiply
    274,725x = 578,970 × 578,970
  4. Step 4: Simplify right side
    274,725x = 335,206,260,900
  5. Step 5: Solve for x
    x = 335,206,260,900/274,725
  6. Step 6: Final answer
    x = 1,220,152.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.