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Finding the Third Proportional to 401,324 and 535,280

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Solution

The third proportional to 401,324 and 535,280 is: 713,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,324 : 535,280 = 535,280 : x
  2. Step 2: Convert to fraction form
    401,324/535,280 = 535,280/x
  3. Step 3: Cross multiply
    401,324x = 535,280 × 535,280
  4. Step 4: Simplify right side
    401,324x = 286,524,678,400
  5. Step 5: Solve for x
    x = 286,524,678,400/401,324
  6. Step 6: Final answer
    x = 713,948.53

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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.