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Finding the Third Proportional to 191,664 and 418,320

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Solution

The third proportional to 191,664 and 418,320 is: 913,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,664 : 418,320 = 418,320 : x
  2. Step 2: Convert to fraction form
    191,664/418,320 = 418,320/x
  3. Step 3: Cross multiply
    191,664x = 418,320 × 418,320
  4. Step 4: Simplify right side
    191,664x = 174,991,622,400
  5. Step 5: Solve for x
    x = 174,991,622,400/191,664
  6. Step 6: Final answer
    x = 913,012.47

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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.