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Finding the Third Proportional to 295,342.50 and 644,137.50

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Solution

The third proportional to 295,342.50 and 644,137.50 is: 1,404,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,342.50 : 644,137.50 = 644,137.50 : x
  2. Step 2: Convert to fraction form
    295,342.50/644,137.50 = 644,137.50/x
  3. Step 3: Cross multiply
    295,342.50x = 644,137.50 × 644,137.50
  4. Step 4: Simplify right side
    295,342.50x = 414,913,118,906.25
  5. Step 5: Solve for x
    x = 414,913,118,906.25/295,342.50
  6. Step 6: Final answer
    x = 1,404,854.09

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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.