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Finding the Third Proportional to 401,046 and 535,185

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Solution

The third proportional to 401,046 and 535,185 is: 714,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,046 : 535,185 = 535,185 : x
  2. Step 2: Convert to fraction form
    401,046/535,185 = 535,185/x
  3. Step 3: Cross multiply
    401,046x = 535,185 × 535,185
  4. Step 4: Simplify right side
    401,046x = 286,422,984,225
  5. Step 5: Solve for x
    x = 286,422,984,225/401,046
  6. Step 6: Final answer
    x = 714,189.85

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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.