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Finding the Third Proportional to 260,818 and 571,509

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Solution

The third proportional to 260,818 and 571,509 is: 1,252,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,818 : 571,509 = 571,509 : x
  2. Step 2: Convert to fraction form
    260,818/571,509 = 571,509/x
  3. Step 3: Cross multiply
    260,818x = 571,509 × 571,509
  4. Step 4: Simplify right side
    260,818x = 326,622,537,081
  5. Step 5: Solve for x
    x = 326,622,537,081/260,818
  6. Step 6: Final answer
    x = 1,252,300.60

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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.