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Finding the Third Proportional to 320,437 and 483,111.50

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Solution

The third proportional to 320,437 and 483,111.50 is: 728,370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,437 : 483,111.50 = 483,111.50 : x
  2. Step 2: Convert to fraction form
    320,437/483,111.50 = 483,111.50/x
  3. Step 3: Cross multiply
    320,437x = 483,111.50 × 483,111.50
  4. Step 4: Simplify right side
    320,437x = 233,396,721,432.25
  5. Step 5: Solve for x
    x = 233,396,721,432.25/320,437
  6. Step 6: Final answer
    x = 728,370.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.