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Finding the Third Proportional to 260,820 and 571,455

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Solution

The third proportional to 260,820 and 571,455 is: 1,252,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,820 : 571,455 = 571,455 : x
  2. Step 2: Convert to fraction form
    260,820/571,455 = 571,455/x
  3. Step 3: Cross multiply
    260,820x = 571,455 × 571,455
  4. Step 4: Simplify right side
    260,820x = 326,560,817,025
  5. Step 5: Solve for x
    x = 326,560,817,025/260,820
  6. Step 6: Final answer
    x = 1,252,054.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.