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Finding the Third Proportional to 216,871 and 469,937

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Solution

The third proportional to 216,871 and 469,937 is: 1,018,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,871 : 469,937 = 469,937 : x
  2. Step 2: Convert to fraction form
    216,871/469,937 = 469,937/x
  3. Step 3: Cross multiply
    216,871x = 469,937 × 469,937
  4. Step 4: Simplify right side
    216,871x = 220,840,783,969
  5. Step 5: Solve for x
    x = 220,840,783,969/216,871
  6. Step 6: Final answer
    x = 1,018,304.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.