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Finding the Third Proportional to 72,598 and 108,897

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Solution

The third proportional to 72,598 and 108,897 is: 163,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,598 : 108,897 = 108,897 : x
  2. Step 2: Convert to fraction form
    72,598/108,897 = 108,897/x
  3. Step 3: Cross multiply
    72,598x = 108,897 × 108,897
  4. Step 4: Simplify right side
    72,598x = 11,858,556,609
  5. Step 5: Solve for x
    x = 11,858,556,609/72,598
  6. Step 6: Final answer
    x = 163,345.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.