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Finding the Third Proportional to 285,354 and 427,140

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Solution

The third proportional to 285,354 and 427,140 is: 639,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,354 : 427,140 = 427,140 : x
  2. Step 2: Convert to fraction form
    285,354/427,140 = 427,140/x
  3. Step 3: Cross multiply
    285,354x = 427,140 × 427,140
  4. Step 4: Simplify right side
    285,354x = 182,448,579,600
  5. Step 5: Solve for x
    x = 182,448,579,600/285,354
  6. Step 6: Final answer
    x = 639,376.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.