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Finding the Third Proportional to 103,476 and 164,124

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Solution

The third proportional to 103,476 and 164,124 is: 260,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,476 : 164,124 = 164,124 : x
  2. Step 2: Convert to fraction form
    103,476/164,124 = 164,124/x
  3. Step 3: Cross multiply
    103,476x = 164,124 × 164,124
  4. Step 4: Simplify right side
    103,476x = 26,936,687,376
  5. Step 5: Solve for x
    x = 26,936,687,376/103,476
  6. Step 6: Final answer
    x = 260,318.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.