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Finding the Third Proportional to 136,790 and 210,124

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Solution

The third proportional to 136,790 and 210,124 is: 322,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,790 : 210,124 = 210,124 : x
  2. Step 2: Convert to fraction form
    136,790/210,124 = 210,124/x
  3. Step 3: Cross multiply
    136,790x = 210,124 × 210,124
  4. Step 4: Simplify right side
    136,790x = 44,152,095,376
  5. Step 5: Solve for x
    x = 44,152,095,376/136,790
  6. Step 6: Final answer
    x = 322,772.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.