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Finding the Third Proportional to 258,080 and 556,980

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Solution

The third proportional to 258,080 and 556,980 is: 1,202,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,080 : 556,980 = 556,980 : x
  2. Step 2: Convert to fraction form
    258,080/556,980 = 556,980/x
  3. Step 3: Cross multiply
    258,080x = 556,980 × 556,980
  4. Step 4: Simplify right side
    258,080x = 310,226,720,400
  5. Step 5: Solve for x
    x = 310,226,720,400/258,080
  6. Step 6: Final answer
    x = 1,202,056.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.