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Finding the Third Proportional to 278,959.50 and 602,194.50

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Solution

The third proportional to 278,959.50 and 602,194.50 is: 1,299,967.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,959.50 : 602,194.50 = 602,194.50 : x
  2. Step 2: Convert to fraction form
    278,959.50/602,194.50 = 602,194.50/x
  3. Step 3: Cross multiply
    278,959.50x = 602,194.50 × 602,194.50
  4. Step 4: Simplify right side
    278,959.50x = 362,638,215,830.25
  5. Step 5: Solve for x
    x = 362,638,215,830.25/278,959.50
  6. Step 6: Final answer
    x = 1,299,967.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.