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Finding the Third Proportional to 380,222 and 556,509

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Solution

The third proportional to 380,222 and 556,509 is: 814,530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,222 : 556,509 = 556,509 : x
  2. Step 2: Convert to fraction form
    380,222/556,509 = 556,509/x
  3. Step 3: Cross multiply
    380,222x = 556,509 × 556,509
  4. Step 4: Simplify right side
    380,222x = 309,702,267,081
  5. Step 5: Solve for x
    x = 309,702,267,081/380,222
  6. Step 6: Final answer
    x = 814,530.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.