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Finding the Third Proportional to 257,818 and 555,130

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Solution

The third proportional to 257,818 and 555,130 is: 1,195,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,818 : 555,130 = 555,130 : x
  2. Step 2: Convert to fraction form
    257,818/555,130 = 555,130/x
  3. Step 3: Cross multiply
    257,818x = 555,130 × 555,130
  4. Step 4: Simplify right side
    257,818x = 308,169,316,900
  5. Step 5: Solve for x
    x = 308,169,316,900/257,818
  6. Step 6: Final answer
    x = 1,195,297.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.