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Finding the Third Proportional to 156,426 and 330,066

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Solution

The third proportional to 156,426 and 330,066 is: 696,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,426 : 330,066 = 330,066 : x
  2. Step 2: Convert to fraction form
    156,426/330,066 = 330,066/x
  3. Step 3: Cross multiply
    156,426x = 330,066 × 330,066
  4. Step 4: Simplify right side
    156,426x = 108,943,564,356
  5. Step 5: Solve for x
    x = 108,943,564,356/156,426
  6. Step 6: Final answer
    x = 696,454.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.