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Finding the Third Proportional to 130,126.50 and 192,638.25

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Solution

The third proportional to 130,126.50 and 192,638.25 is: 285,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,126.50 : 192,638.25 = 192,638.25 : x
  2. Step 2: Convert to fraction form
    130,126.50/192,638.25 = 192,638.25/x
  3. Step 3: Cross multiply
    130,126.50x = 192,638.25 × 192,638.25
  4. Step 4: Simplify right side
    130,126.50x = 37,109,495,363.06
  5. Step 5: Solve for x
    x = 37,109,495,363.06/130,126.50
  6. Step 6: Final answer
    x = 285,180.15

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.