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Finding the Third Proportional to 43,345 and 94,953

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Solution

The third proportional to 43,345 and 94,953 is: 208,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,345 : 94,953 = 94,953 : x
  2. Step 2: Convert to fraction form
    43,345/94,953 = 94,953/x
  3. Step 3: Cross multiply
    43,345x = 94,953 × 94,953
  4. Step 4: Simplify right side
    43,345x = 9,016,072,209
  5. Step 5: Solve for x
    x = 9,016,072,209/43,345
  6. Step 6: Final answer
    x = 208,007.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.