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Finding the Third Proportional to 289,924 and 438,897

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Solution

The third proportional to 289,924 and 438,897 is: 664,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,924 : 438,897 = 438,897 : x
  2. Step 2: Convert to fraction form
    289,924/438,897 = 438,897/x
  3. Step 3: Cross multiply
    289,924x = 438,897 × 438,897
  4. Step 4: Simplify right side
    289,924x = 192,630,576,609
  5. Step 5: Solve for x
    x = 192,630,576,609/289,924
  6. Step 6: Final answer
    x = 664,417.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.