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Finding the Third Proportional to 219,921 and 363,942

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Solution

The third proportional to 219,921 and 363,942 is: 602,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,921 : 363,942 = 363,942 : x
  2. Step 2: Convert to fraction form
    219,921/363,942 = 363,942/x
  3. Step 3: Cross multiply
    219,921x = 363,942 × 363,942
  4. Step 4: Simplify right side
    219,921x = 132,453,779,364
  5. Step 5: Solve for x
    x = 132,453,779,364/219,921
  6. Step 6: Final answer
    x = 602,278.91

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.