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Finding the Third Proportional to 255,205 and 559,253

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Solution

The third proportional to 255,205 and 559,253 is: 1,225,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,205 : 559,253 = 559,253 : x
  2. Step 2: Convert to fraction form
    255,205/559,253 = 559,253/x
  3. Step 3: Cross multiply
    255,205x = 559,253 × 559,253
  4. Step 4: Simplify right side
    255,205x = 312,763,918,009
  5. Step 5: Solve for x
    x = 312,763,918,009/255,205
  6. Step 6: Final answer
    x = 1,225,539.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.