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Finding the Third Proportional to 82,948.50 and 128,094.75

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Solution

The third proportional to 82,948.50 and 128,094.75 is: 197,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,948.50 : 128,094.75 = 128,094.75 : x
  2. Step 2: Convert to fraction form
    82,948.50/128,094.75 = 128,094.75/x
  3. Step 3: Cross multiply
    82,948.50x = 128,094.75 × 128,094.75
  4. Step 4: Simplify right side
    82,948.50x = 16,408,264,977.56
  5. Step 5: Solve for x
    x = 16,408,264,977.56/82,948.50
  6. Step 6: Final answer
    x = 197,812.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.