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Finding the Third Proportional to 257,455 and 560,680

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Solution

The third proportional to 257,455 and 560,680 is: 1,221,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,455 : 560,680 = 560,680 : x
  2. Step 2: Convert to fraction form
    257,455/560,680 = 560,680/x
  3. Step 3: Cross multiply
    257,455x = 560,680 × 560,680
  4. Step 4: Simplify right side
    257,455x = 314,362,062,400
  5. Step 5: Solve for x
    x = 314,362,062,400/257,455
  6. Step 6: Final answer
    x = 1,221,036.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.