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Finding the Third Proportional to 258,224 and 559,342

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Solution

The third proportional to 258,224 and 559,342 is: 1,211,597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,224 : 559,342 = 559,342 : x
  2. Step 2: Convert to fraction form
    258,224/559,342 = 559,342/x
  3. Step 3: Cross multiply
    258,224x = 559,342 × 559,342
  4. Step 4: Simplify right side
    258,224x = 312,863,472,964
  5. Step 5: Solve for x
    x = 312,863,472,964/258,224
  6. Step 6: Final answer
    x = 1,211,597.19

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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.