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Finding the Third Proportional to 411,322 and 917,164

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Solution

The third proportional to 411,322 and 917,164 is: 2,045,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,322 : 917,164 = 917,164 : x
  2. Step 2: Convert to fraction form
    411,322/917,164 = 917,164/x
  3. Step 3: Cross multiply
    411,322x = 917,164 × 917,164
  4. Step 4: Simplify right side
    411,322x = 841,189,802,896
  5. Step 5: Solve for x
    x = 841,189,802,896/411,322
  6. Step 6: Final answer
    x = 2,045,088.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.