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Finding the Third Proportional to 285,346.50 and 427,128

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Solution

The third proportional to 285,346.50 and 427,128 is: 639,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,346.50 : 427,128 = 427,128 : x
  2. Step 2: Convert to fraction form
    285,346.50/427,128 = 427,128/x
  3. Step 3: Cross multiply
    285,346.50x = 427,128 × 427,128
  4. Step 4: Simplify right side
    285,346.50x = 182,438,328,384
  5. Step 5: Solve for x
    x = 182,438,328,384/285,346.50
  6. Step 6: Final answer
    x = 639,357.16

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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.