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Finding the Third Proportional to 258,196 and 559,284

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Solution

The third proportional to 258,196 and 559,284 is: 1,211,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,196 : 559,284 = 559,284 : x
  2. Step 2: Convert to fraction form
    258,196/559,284 = 559,284/x
  3. Step 3: Cross multiply
    258,196x = 559,284 × 559,284
  4. Step 4: Simplify right side
    258,196x = 312,798,592,656
  5. Step 5: Solve for x
    x = 312,798,592,656/258,196
  6. Step 6: Final answer
    x = 1,211,477.30

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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.