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Finding the Third Proportional to 421,769 and 909,972

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Solution

The third proportional to 421,769 and 909,972 is: 1,963,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,769 : 909,972 = 909,972 : x
  2. Step 2: Convert to fraction form
    421,769/909,972 = 909,972/x
  3. Step 3: Cross multiply
    421,769x = 909,972 × 909,972
  4. Step 4: Simplify right side
    421,769x = 828,049,040,784
  5. Step 5: Solve for x
    x = 828,049,040,784/421,769
  6. Step 6: Final answer
    x = 1,963,276.20

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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.