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Finding the Third Proportional to 178,416 and 389,664

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Solution

The third proportional to 178,416 and 389,664 is: 851,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,416 : 389,664 = 389,664 : x
  2. Step 2: Convert to fraction form
    178,416/389,664 = 389,664/x
  3. Step 3: Cross multiply
    178,416x = 389,664 × 389,664
  4. Step 4: Simplify right side
    178,416x = 151,838,032,896
  5. Step 5: Solve for x
    x = 151,838,032,896/178,416
  6. Step 6: Final answer
    x = 851,033.72

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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.