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Finding the Third Proportional to 320,454 and 502,677

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Solution

The third proportional to 320,454 and 502,677 is: 788,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,454 : 502,677 = 502,677 : x
  2. Step 2: Convert to fraction form
    320,454/502,677 = 502,677/x
  3. Step 3: Cross multiply
    320,454x = 502,677 × 502,677
  4. Step 4: Simplify right side
    320,454x = 252,684,166,329
  5. Step 5: Solve for x
    x = 252,684,166,329/320,454
  6. Step 6: Final answer
    x = 788,519.31

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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.