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Finding the Third Proportional to 210,364 and 430,544

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Solution

The third proportional to 210,364 and 430,544 is: 881,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,364 : 430,544 = 430,544 : x
  2. Step 2: Convert to fraction form
    210,364/430,544 = 430,544/x
  3. Step 3: Cross multiply
    210,364x = 430,544 × 430,544
  4. Step 4: Simplify right side
    210,364x = 185,368,135,936
  5. Step 5: Solve for x
    x = 185,368,135,936/210,364
  6. Step 6: Final answer
    x = 881,178.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.