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Finding the Third Proportional to 127,553 and 278,070

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Solution

The third proportional to 127,553 and 278,070 is: 606,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,553 : 278,070 = 278,070 : x
  2. Step 2: Convert to fraction form
    127,553/278,070 = 278,070/x
  3. Step 3: Cross multiply
    127,553x = 278,070 × 278,070
  4. Step 4: Simplify right side
    127,553x = 77,322,924,900
  5. Step 5: Solve for x
    x = 77,322,924,900/127,553
  6. Step 6: Final answer
    x = 606,202.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.