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Finding the Third Proportional to 78,931 and 120,746

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Solution

The third proportional to 78,931 and 120,746 is: 184,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,931 : 120,746 = 120,746 : x
  2. Step 2: Convert to fraction form
    78,931/120,746 = 120,746/x
  3. Step 3: Cross multiply
    78,931x = 120,746 × 120,746
  4. Step 4: Simplify right side
    78,931x = 14,579,596,516
  5. Step 5: Solve for x
    x = 14,579,596,516/78,931
  6. Step 6: Final answer
    x = 184,713.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.