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Finding the Third Proportional to 134,178.38 and 289,376.63

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Solution

The third proportional to 134,178.38 and 289,376.63 is: 624,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,178.38 : 289,376.63 = 289,376.63 : x
  2. Step 2: Convert to fraction form
    134,178.38/289,376.63 = 289,376.63/x
  3. Step 3: Cross multiply
    134,178.38x = 289,376.63 × 289,376.63
  4. Step 4: Simplify right side
    134,178.38x = 83,738,831,096.39
  5. Step 5: Solve for x
    x = 83,738,831,096.39/134,178.38
  6. Step 6: Final answer
    x = 624,085.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.