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Finding the Third Proportional to 320,202 and 502,283

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Solution

The third proportional to 320,202 and 502,283 is: 787,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,202 : 502,283 = 502,283 : x
  2. Step 2: Convert to fraction form
    320,202/502,283 = 502,283/x
  3. Step 3: Cross multiply
    320,202x = 502,283 × 502,283
  4. Step 4: Simplify right side
    320,202x = 252,288,212,089
  5. Step 5: Solve for x
    x = 252,288,212,089/320,202
  6. Step 6: Final answer
    x = 787,903.30

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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.