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Finding the Third Proportional to 401,566 and 535,361

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Solution

The third proportional to 401,566 and 535,361 is: 713,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,566 : 535,361 = 535,361 : x
  2. Step 2: Convert to fraction form
    401,566/535,361 = 535,361/x
  3. Step 3: Cross multiply
    401,566x = 535,361 × 535,361
  4. Step 4: Simplify right side
    401,566x = 286,611,400,321
  5. Step 5: Solve for x
    x = 286,611,400,321/401,566
  6. Step 6: Final answer
    x = 713,734.23

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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.