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Finding the Third Proportional to 401,931 and 845,226

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Solution

The third proportional to 401,931 and 845,226 is: 1,777,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,931 : 845,226 = 845,226 : x
  2. Step 2: Convert to fraction form
    401,931/845,226 = 845,226/x
  3. Step 3: Cross multiply
    401,931x = 845,226 × 845,226
  4. Step 4: Simplify right side
    401,931x = 714,406,991,076
  5. Step 5: Solve for x
    x = 714,406,991,076/401,931
  6. Step 6: Final answer
    x = 1,777,436.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.