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Finding the Third Proportional to 409,472 and 889,684

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Solution

The third proportional to 409,472 and 889,684 is: 1,933,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,472 : 889,684 = 889,684 : x
  2. Step 2: Convert to fraction form
    409,472/889,684 = 889,684/x
  3. Step 3: Cross multiply
    409,472x = 889,684 × 889,684
  4. Step 4: Simplify right side
    409,472x = 791,537,619,856
  5. Step 5: Solve for x
    x = 791,537,619,856/409,472
  6. Step 6: Final answer
    x = 1,933,068.98

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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.