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Finding the Third Proportional to 257,888 and 560,610

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Solution

The third proportional to 257,888 and 560,610 is: 1,218,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,888 : 560,610 = 560,610 : x
  2. Step 2: Convert to fraction form
    257,888/560,610 = 560,610/x
  3. Step 3: Cross multiply
    257,888x = 560,610 × 560,610
  4. Step 4: Simplify right side
    257,888x = 314,283,572,100
  5. Step 5: Solve for x
    x = 314,283,572,100/257,888
  6. Step 6: Final answer
    x = 1,218,682.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.