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Finding the Third Proportional to 78,123 and 121,155

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Solution

The third proportional to 78,123 and 121,155 is: 187,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,123 : 121,155 = 121,155 : x
  2. Step 2: Convert to fraction form
    78,123/121,155 = 121,155/x
  3. Step 3: Cross multiply
    78,123x = 121,155 × 121,155
  4. Step 4: Simplify right side
    78,123x = 14,678,534,025
  5. Step 5: Solve for x
    x = 14,678,534,025/78,123
  6. Step 6: Final answer
    x = 187,890.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.