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Finding the Third Proportional to 141,495 and 210,318

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Solution

The third proportional to 141,495 and 210,318 is: 312,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,495 : 210,318 = 210,318 : x
  2. Step 2: Convert to fraction form
    141,495/210,318 = 210,318/x
  3. Step 3: Cross multiply
    141,495x = 210,318 × 210,318
  4. Step 4: Simplify right side
    141,495x = 44,233,661,124
  5. Step 5: Solve for x
    x = 44,233,661,124/141,495
  6. Step 6: Final answer
    x = 312,616.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.