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Finding the Third Proportional to 271,820 and 578,630

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Solution

The third proportional to 271,820 and 578,630 is: 1,231,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,820 : 578,630 = 578,630 : x
  2. Step 2: Convert to fraction form
    271,820/578,630 = 578,630/x
  3. Step 3: Cross multiply
    271,820x = 578,630 × 578,630
  4. Step 4: Simplify right side
    271,820x = 334,812,676,900
  5. Step 5: Solve for x
    x = 334,812,676,900/271,820
  6. Step 6: Final answer
    x = 1,231,744.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.