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Finding the Third Proportional to 513,555 and 1,145,130

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Solution

The third proportional to 513,555 and 1,145,130 is: 2,553,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,555 : 1,145,130 = 1,145,130 : x
  2. Step 2: Convert to fraction form
    513,555/1,145,130 = 1,145,130/x
  3. Step 3: Cross multiply
    513,555x = 1,145,130 × 1,145,130
  4. Step 4: Simplify right side
    513,555x = 1,311,322,716,900
  5. Step 5: Solve for x
    x = 1,311,322,716,900/513,555
  6. Step 6: Final answer
    x = 2,553,422.16

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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.