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Finding the Third Proportional to 127,985.63 and 278,309.25

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Solution

The third proportional to 127,985.63 and 278,309.25 is: 605,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,985.63 : 278,309.25 = 278,309.25 : x
  2. Step 2: Convert to fraction form
    127,985.63/278,309.25 = 278,309.25/x
  3. Step 3: Cross multiply
    127,985.63x = 278,309.25 × 278,309.25
  4. Step 4: Simplify right side
    127,985.63x = 77,456,038,635.56
  5. Step 5: Solve for x
    x = 77,456,038,635.56/127,985.63
  6. Step 6: Final answer
    x = 605,193.27

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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.