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Finding the Third Proportional to 274,215 and 611,445

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Solution

The third proportional to 274,215 and 611,445 is: 1,363,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,215 : 611,445 = 611,445 : x
  2. Step 2: Convert to fraction form
    274,215/611,445 = 611,445/x
  3. Step 3: Cross multiply
    274,215x = 611,445 × 611,445
  4. Step 4: Simplify right side
    274,215x = 373,864,988,025
  5. Step 5: Solve for x
    x = 373,864,988,025/274,215
  6. Step 6: Final answer
    x = 1,363,400.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.