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Finding the Third Proportional to 401,544 and 535,320

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Solution

The third proportional to 401,544 and 535,320 is: 713,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,544 : 535,320 = 535,320 : x
  2. Step 2: Convert to fraction form
    401,544/535,320 = 535,320/x
  3. Step 3: Cross multiply
    401,544x = 535,320 × 535,320
  4. Step 4: Simplify right side
    401,544x = 286,567,502,400
  5. Step 5: Solve for x
    x = 286,567,502,400/401,544
  6. Step 6: Final answer
    x = 713,664.01

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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.