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Finding the Third Proportional to 255,152 and 559,390

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Solution

The third proportional to 255,152 and 559,390 is: 1,226,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,152 : 559,390 = 559,390 : x
  2. Step 2: Convert to fraction form
    255,152/559,390 = 559,390/x
  3. Step 3: Cross multiply
    255,152x = 559,390 × 559,390
  4. Step 4: Simplify right side
    255,152x = 312,917,172,100
  5. Step 5: Solve for x
    x = 312,917,172,100/255,152
  6. Step 6: Final answer
    x = 1,226,395.14

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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.