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Finding the Third Proportional to 208,069 and 272,044

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Solution

The third proportional to 208,069 and 272,044 is: 355,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,069 : 272,044 = 272,044 : x
  2. Step 2: Convert to fraction form
    208,069/272,044 = 272,044/x
  3. Step 3: Cross multiply
    208,069x = 272,044 × 272,044
  4. Step 4: Simplify right side
    208,069x = 74,007,937,936
  5. Step 5: Solve for x
    x = 74,007,937,936/208,069
  6. Step 6: Final answer
    x = 355,689.40

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.