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Finding the Third Proportional to 144,186 and 210,507

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Solution

The third proportional to 144,186 and 210,507 is: 307,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,186 : 210,507 = 210,507 : x
  2. Step 2: Convert to fraction form
    144,186/210,507 = 210,507/x
  3. Step 3: Cross multiply
    144,186x = 210,507 × 210,507
  4. Step 4: Simplify right side
    144,186x = 44,313,197,049
  5. Step 5: Solve for x
    x = 44,313,197,049/144,186
  6. Step 6: Final answer
    x = 307,333.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.