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Finding the Third Proportional to 128,688.75 and 194,045.63

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Solution

The third proportional to 128,688.75 and 194,045.63 is: 292,595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,688.75 : 194,045.63 = 194,045.63 : x
  2. Step 2: Convert to fraction form
    128,688.75/194,045.63 = 194,045.63/x
  3. Step 3: Cross multiply
    128,688.75x = 194,045.63 × 194,045.63
  4. Step 4: Simplify right side
    128,688.75x = 37,653,704,581.64
  5. Step 5: Solve for x
    x = 37,653,704,581.64/128,688.75
  6. Step 6: Final answer
    x = 292,595.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.