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Finding the Third Proportional to 210,366 and 430,548

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Solution

The third proportional to 210,366 and 430,548 is: 881,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,366 : 430,548 = 430,548 : x
  2. Step 2: Convert to fraction form
    210,366/430,548 = 430,548/x
  3. Step 3: Cross multiply
    210,366x = 430,548 × 430,548
  4. Step 4: Simplify right side
    210,366x = 185,371,580,304
  5. Step 5: Solve for x
    x = 185,371,580,304/210,366
  6. Step 6: Final answer
    x = 881,186.03

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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.