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Finding the Third Proportional to 191,747 and 418,102

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Solution

The third proportional to 191,747 and 418,102 is: 911,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,747 : 418,102 = 418,102 : x
  2. Step 2: Convert to fraction form
    191,747/418,102 = 418,102/x
  3. Step 3: Cross multiply
    191,747x = 418,102 × 418,102
  4. Step 4: Simplify right side
    191,747x = 174,809,282,404
  5. Step 5: Solve for x
    x = 174,809,282,404/191,747
  6. Step 6: Final answer
    x = 911,666.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.