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Finding the Third Proportional to 255,388 and 555,452

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Solution

The third proportional to 255,388 and 555,452 is: 1,208,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,388 : 555,452 = 555,452 : x
  2. Step 2: Convert to fraction form
    255,388/555,452 = 555,452/x
  3. Step 3: Cross multiply
    255,388x = 555,452 × 555,452
  4. Step 4: Simplify right side
    255,388x = 308,526,924,304
  5. Step 5: Solve for x
    x = 308,526,924,304/255,388
  6. Step 6: Final answer
    x = 1,208,071.34

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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.