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Finding the Third Proportional to 401,858 and 607,966

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Solution

The third proportional to 401,858 and 607,966 is: 919,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,858 : 607,966 = 607,966 : x
  2. Step 2: Convert to fraction form
    401,858/607,966 = 607,966/x
  3. Step 3: Cross multiply
    401,858x = 607,966 × 607,966
  4. Step 4: Simplify right side
    401,858x = 369,622,657,156
  5. Step 5: Solve for x
    x = 369,622,657,156/401,858
  6. Step 6: Final answer
    x = 919,784.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.