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Finding the Third Proportional to 255,702 and 556,020

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Solution

The third proportional to 255,702 and 556,020 is: 1,209,056.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,702 : 556,020 = 556,020 : x
  2. Step 2: Convert to fraction form
    255,702/556,020 = 556,020/x
  3. Step 3: Cross multiply
    255,702x = 556,020 × 556,020
  4. Step 4: Simplify right side
    255,702x = 309,158,240,400
  5. Step 5: Solve for x
    x = 309,158,240,400/255,702
  6. Step 6: Final answer
    x = 1,209,056.79

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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.