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Finding the Third Proportional to 320,471 and 502,706

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Solution

The third proportional to 320,471 and 502,706 is: 788,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,471 : 502,706 = 502,706 : x
  2. Step 2: Convert to fraction form
    320,471/502,706 = 502,706/x
  3. Step 3: Cross multiply
    320,471x = 502,706 × 502,706
  4. Step 4: Simplify right side
    320,471x = 252,713,322,436
  5. Step 5: Solve for x
    x = 252,713,322,436/320,471
  6. Step 6: Final answer
    x = 788,568.46

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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.