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Finding the Third Proportional to 258,080 and 555,710

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Solution

The third proportional to 258,080 and 555,710 is: 1,196,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,080 : 555,710 = 555,710 : x
  2. Step 2: Convert to fraction form
    258,080/555,710 = 555,710/x
  3. Step 3: Cross multiply
    258,080x = 555,710 × 555,710
  4. Step 4: Simplify right side
    258,080x = 308,813,604,100
  5. Step 5: Solve for x
    x = 308,813,604,100/258,080
  6. Step 6: Final answer
    x = 1,196,580.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.