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Finding the Third Proportional to 43,457 and 90,178

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Solution

The third proportional to 43,457 and 90,178 is: 187,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,457 : 90,178 = 90,178 : x
  2. Step 2: Convert to fraction form
    43,457/90,178 = 90,178/x
  3. Step 3: Cross multiply
    43,457x = 90,178 × 90,178
  4. Step 4: Simplify right side
    43,457x = 8,132,071,684
  5. Step 5: Solve for x
    x = 8,132,071,684/43,457
  6. Step 6: Final answer
    x = 187,129.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.