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Finding the Third Proportional to 156,816 and 370,128

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Solution

The third proportional to 156,816 and 370,128 is: 873,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,816 : 370,128 = 370,128 : x
  2. Step 2: Convert to fraction form
    156,816/370,128 = 370,128/x
  3. Step 3: Cross multiply
    156,816x = 370,128 × 370,128
  4. Step 4: Simplify right side
    156,816x = 136,994,736,384
  5. Step 5: Solve for x
    x = 136,994,736,384/156,816
  6. Step 6: Final answer
    x = 873,601.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.