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Finding the Third Proportional to 78,430 and 185,118

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Solution

The third proportional to 78,430 and 185,118 is: 436,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,430 : 185,118 = 185,118 : x
  2. Step 2: Convert to fraction form
    78,430/185,118 = 185,118/x
  3. Step 3: Cross multiply
    78,430x = 185,118 × 185,118
  4. Step 4: Simplify right side
    78,430x = 34,268,673,924
  5. Step 5: Solve for x
    x = 34,268,673,924/78,430
  6. Step 6: Final answer
    x = 436,933.24

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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.