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Finding the Third Proportional to 158,704 and 330,560

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Solution

The third proportional to 158,704 and 330,560 is: 688,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,704 : 330,560 = 330,560 : x
  2. Step 2: Convert to fraction form
    158,704/330,560 = 330,560/x
  3. Step 3: Cross multiply
    158,704x = 330,560 × 330,560
  4. Step 4: Simplify right side
    158,704x = 109,269,913,600
  5. Step 5: Solve for x
    x = 109,269,913,600/158,704
  6. Step 6: Final answer
    x = 688,513.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.