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Finding the Third Proportional to 320,203 and 502,284

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Solution

The third proportional to 320,203 and 502,284 is: 787,903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,203 : 502,284 = 502,284 : x
  2. Step 2: Convert to fraction form
    320,203/502,284 = 502,284/x
  3. Step 3: Cross multiply
    320,203x = 502,284 × 502,284
  4. Step 4: Simplify right side
    320,203x = 252,289,216,656
  5. Step 5: Solve for x
    x = 252,289,216,656/320,203
  6. Step 6: Final answer
    x = 787,903.98

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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.