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Finding the Third Proportional to 285,576 and 401,146

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Solution

The third proportional to 285,576 and 401,146 is: 563,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,576 : 401,146 = 401,146 : x
  2. Step 2: Convert to fraction form
    285,576/401,146 = 401,146/x
  3. Step 3: Cross multiply
    285,576x = 401,146 × 401,146
  4. Step 4: Simplify right side
    285,576x = 160,918,113,316
  5. Step 5: Solve for x
    x = 160,918,113,316/285,576
  6. Step 6: Final answer
    x = 563,486.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.