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Finding the Third Proportional to 401,528 and 535,305

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Solution

The third proportional to 401,528 and 535,305 is: 713,652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,528 : 535,305 = 535,305 : x
  2. Step 2: Convert to fraction form
    401,528/535,305 = 535,305/x
  3. Step 3: Cross multiply
    401,528x = 535,305 × 535,305
  4. Step 4: Simplify right side
    401,528x = 286,551,443,025
  5. Step 5: Solve for x
    x = 286,551,443,025/401,528
  6. Step 6: Final answer
    x = 713,652.46

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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.