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Finding the Third Proportional to 285,564 and 401,130

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Solution

The third proportional to 285,564 and 401,130 is: 563,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,564 : 401,130 = 401,130 : x
  2. Step 2: Convert to fraction form
    285,564/401,130 = 401,130/x
  3. Step 3: Cross multiply
    285,564x = 401,130 × 401,130
  4. Step 4: Simplify right side
    285,564x = 160,905,276,900
  5. Step 5: Solve for x
    x = 160,905,276,900/285,564
  6. Step 6: Final answer
    x = 563,464.85

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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.