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Finding the Third Proportional to 592,686 and 1,280,137.50

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Solution

The third proportional to 592,686 and 1,280,137.50 is: 2,764,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,686 : 1,280,137.50 = 1,280,137.50 : x
  2. Step 2: Convert to fraction form
    592,686/1,280,137.50 = 1,280,137.50/x
  3. Step 3: Cross multiply
    592,686x = 1,280,137.50 × 1,280,137.50
  4. Step 4: Simplify right side
    592,686x = 1,638,752,018,906.25
  5. Step 5: Solve for x
    x = 1,638,752,018,906.25/592,686
  6. Step 6: Final answer
    x = 2,764,958.21

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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.