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Finding the Third Proportional to 141,304.50 and 297,128.25

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Solution

The third proportional to 141,304.50 and 297,128.25 is: 624,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,304.50 : 297,128.25 = 297,128.25 : x
  2. Step 2: Convert to fraction form
    141,304.50/297,128.25 = 297,128.25/x
  3. Step 3: Cross multiply
    141,304.50x = 297,128.25 × 297,128.25
  4. Step 4: Simplify right side
    141,304.50x = 88,285,196,948.06
  5. Step 5: Solve for x
    x = 88,285,196,948.06/141,304.50
  6. Step 6: Final answer
    x = 624,786.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.