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Finding the Third Proportional to 180,951 and 386,820

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Solution

The third proportional to 180,951 and 386,820 is: 826,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,951 : 386,820 = 386,820 : x
  2. Step 2: Convert to fraction form
    180,951/386,820 = 386,820/x
  3. Step 3: Cross multiply
    180,951x = 386,820 × 386,820
  4. Step 4: Simplify right side
    180,951x = 149,629,712,400
  5. Step 5: Solve for x
    x = 149,629,712,400/180,951
  6. Step 6: Final answer
    x = 826,907.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.