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Finding the Third Proportional to 93,454 and 141,153

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Solution

The third proportional to 93,454 and 141,153 is: 213,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,454 : 141,153 = 141,153 : x
  2. Step 2: Convert to fraction form
    93,454/141,153 = 141,153/x
  3. Step 3: Cross multiply
    93,454x = 141,153 × 141,153
  4. Step 4: Simplify right side
    93,454x = 19,924,169,409
  5. Step 5: Solve for x
    x = 19,924,169,409/93,454
  6. Step 6: Final answer
    x = 213,197.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.