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Finding the Third Proportional to 401,622 and 535,437

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Solution

The third proportional to 401,622 and 535,437 is: 713,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,622 : 535,437 = 535,437 : x
  2. Step 2: Convert to fraction form
    401,622/535,437 = 535,437/x
  3. Step 3: Cross multiply
    401,622x = 535,437 × 535,437
  4. Step 4: Simplify right side
    401,622x = 286,692,780,969
  5. Step 5: Solve for x
    x = 286,692,780,969/401,622
  6. Step 6: Final answer
    x = 713,837.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.