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Finding the Third Proportional to 133,778 and 208,047

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Solution

The third proportional to 133,778 and 208,047 is: 323,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,778 : 208,047 = 208,047 : x
  2. Step 2: Convert to fraction form
    133,778/208,047 = 208,047/x
  3. Step 3: Cross multiply
    133,778x = 208,047 × 208,047
  4. Step 4: Simplify right side
    133,778x = 43,283,554,209
  5. Step 5: Solve for x
    x = 43,283,554,209/133,778
  6. Step 6: Final answer
    x = 323,547.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.