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Finding the Third Proportional to 219,577.50 and 320,996.25

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Solution

The third proportional to 219,577.50 and 320,996.25 is: 469,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,577.50 : 320,996.25 = 320,996.25 : x
  2. Step 2: Convert to fraction form
    219,577.50/320,996.25 = 320,996.25/x
  3. Step 3: Cross multiply
    219,577.50x = 320,996.25 × 320,996.25
  4. Step 4: Simplify right side
    219,577.50x = 103,038,592,514.06
  5. Step 5: Solve for x
    x = 103,038,592,514.06/219,577.50
  6. Step 6: Final answer
    x = 469,258.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.