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Finding the Third Proportional to 421,872 and 910,048

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Solution

The third proportional to 421,872 and 910,048 is: 1,963,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,872 : 910,048 = 910,048 : x
  2. Step 2: Convert to fraction form
    421,872/910,048 = 910,048/x
  3. Step 3: Cross multiply
    421,872x = 910,048 × 910,048
  4. Step 4: Simplify right side
    421,872x = 828,187,362,304
  5. Step 5: Solve for x
    x = 828,187,362,304/421,872
  6. Step 6: Final answer
    x = 1,963,124.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.