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Finding the Third Proportional to 78,974 and 186,430

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Solution

The third proportional to 78,974 and 186,430 is: 440,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,974 : 186,430 = 186,430 : x
  2. Step 2: Convert to fraction form
    78,974/186,430 = 186,430/x
  3. Step 3: Cross multiply
    78,974x = 186,430 × 186,430
  4. Step 4: Simplify right side
    78,974x = 34,756,144,900
  5. Step 5: Solve for x
    x = 34,756,144,900/78,974
  6. Step 6: Final answer
    x = 440,096.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.