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Finding the Third Proportional to 216,598 and 324,897

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Solution

The third proportional to 216,598 and 324,897 is: 487,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,598 : 324,897 = 324,897 : x
  2. Step 2: Convert to fraction form
    216,598/324,897 = 324,897/x
  3. Step 3: Cross multiply
    216,598x = 324,897 × 324,897
  4. Step 4: Simplify right side
    216,598x = 105,558,060,609
  5. Step 5: Solve for x
    x = 105,558,060,609/216,598
  6. Step 6: Final answer
    x = 487,345.50

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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.