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Finding the Third Proportional to 103,213 and 164,209

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Solution

The third proportional to 103,213 and 164,209 is: 261,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,213 : 164,209 = 164,209 : x
  2. Step 2: Convert to fraction form
    103,213/164,209 = 164,209/x
  3. Step 3: Cross multiply
    103,213x = 164,209 × 164,209
  4. Step 4: Simplify right side
    103,213x = 26,964,595,681
  5. Step 5: Solve for x
    x = 26,964,595,681/103,213
  6. Step 6: Final answer
    x = 261,251.93

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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.