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Finding the Third Proportional to 103,664 and 218,397

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Solution

The third proportional to 103,664 and 218,397 is: 460,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,664 : 218,397 = 218,397 : x
  2. Step 2: Convert to fraction form
    103,664/218,397 = 218,397/x
  3. Step 3: Cross multiply
    103,664x = 218,397 × 218,397
  4. Step 4: Simplify right side
    103,664x = 47,697,249,609
  5. Step 5: Solve for x
    x = 47,697,249,609/103,664
  6. Step 6: Final answer
    x = 460,113.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.