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Finding the Third Proportional to 320,038 and 480,907.50

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Solution

The third proportional to 320,038 and 480,907.50 is: 722,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,038 : 480,907.50 = 480,907.50 : x
  2. Step 2: Convert to fraction form
    320,038/480,907.50 = 480,907.50/x
  3. Step 3: Cross multiply
    320,038x = 480,907.50 × 480,907.50
  4. Step 4: Simplify right side
    320,038x = 231,272,023,556.25
  5. Step 5: Solve for x
    x = 231,272,023,556.25/320,038
  6. Step 6: Final answer
    x = 722,639.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.