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Finding the Third Proportional to 154,242 and 210,124

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Solution

The third proportional to 154,242 and 210,124 is: 286,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,242 : 210,124 = 210,124 : x
  2. Step 2: Convert to fraction form
    154,242/210,124 = 210,124/x
  3. Step 3: Cross multiply
    154,242x = 210,124 × 210,124
  4. Step 4: Simplify right side
    154,242x = 44,152,095,376
  5. Step 5: Solve for x
    x = 44,152,095,376/154,242
  6. Step 6: Final answer
    x = 286,252.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.