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Finding the Third Proportional to 156,685 and 369,806

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Solution

The third proportional to 156,685 and 369,806 is: 872,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,685 : 369,806 = 369,806 : x
  2. Step 2: Convert to fraction form
    156,685/369,806 = 369,806/x
  3. Step 3: Cross multiply
    156,685x = 369,806 × 369,806
  4. Step 4: Simplify right side
    156,685x = 136,756,477,636
  5. Step 5: Solve for x
    x = 136,756,477,636/156,685
  6. Step 6: Final answer
    x = 872,811.55

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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.