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Finding the Third Proportional to 401,607 and 621,846

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Solution

The third proportional to 401,607 and 621,846 is: 962,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,607 : 621,846 = 621,846 : x
  2. Step 2: Convert to fraction form
    401,607/621,846 = 621,846/x
  3. Step 3: Cross multiply
    401,607x = 621,846 × 621,846
  4. Step 4: Simplify right side
    401,607x = 386,692,447,716
  5. Step 5: Solve for x
    x = 386,692,447,716/401,607
  6. Step 6: Final answer
    x = 962,862.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.