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Finding the Third Proportional to 320,862.09 and 493,230.94

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Solution

The third proportional to 320,862.09 and 493,230.94 is: 758,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,862.09 : 493,230.94 = 493,230.94 : x
  2. Step 2: Convert to fraction form
    320,862.09/493,230.94 = 493,230.94/x
  3. Step 3: Cross multiply
    320,862.09x = 493,230.94 × 493,230.94
  4. Step 4: Simplify right side
    320,862.09x = 243,276,757,707.13
  5. Step 5: Solve for x
    x = 243,276,757,707.13/320,862.09
  6. Step 6: Final answer
    x = 758,197.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.