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Finding the Third Proportional to 320,187 and 502,258.50

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Solution

The third proportional to 320,187 and 502,258.50 is: 787,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,187 : 502,258.50 = 502,258.50 : x
  2. Step 2: Convert to fraction form
    320,187/502,258.50 = 502,258.50/x
  3. Step 3: Cross multiply
    320,187x = 502,258.50 × 502,258.50
  4. Step 4: Simplify right side
    320,187x = 252,263,600,822.25
  5. Step 5: Solve for x
    x = 252,263,600,822.25/320,187
  6. Step 6: Final answer
    x = 787,863.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.