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Finding the Third Proportional to 151,411 and 205,717

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Solution

The third proportional to 151,411 and 205,717 is: 279,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,411 : 205,717 = 205,717 : x
  2. Step 2: Convert to fraction form
    151,411/205,717 = 205,717/x
  3. Step 3: Cross multiply
    151,411x = 205,717 × 205,717
  4. Step 4: Simplify right side
    151,411x = 42,319,484,089
  5. Step 5: Solve for x
    x = 42,319,484,089/151,411
  6. Step 6: Final answer
    x = 279,500.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.