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Finding the Third Proportional to 253,700 and 557,620

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Solution

The third proportional to 253,700 and 557,620 is: 1,225,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,700 : 557,620 = 557,620 : x
  2. Step 2: Convert to fraction form
    253,700/557,620 = 557,620/x
  3. Step 3: Cross multiply
    253,700x = 557,620 × 557,620
  4. Step 4: Simplify right side
    253,700x = 310,940,064,400
  5. Step 5: Solve for x
    x = 310,940,064,400/253,700
  6. Step 6: Final answer
    x = 1,225,621.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.