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Finding the Third Proportional to 180,068 and 279,518

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Solution

The third proportional to 180,068 and 279,518 is: 433,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,068 : 279,518 = 279,518 : x
  2. Step 2: Convert to fraction form
    180,068/279,518 = 279,518/x
  3. Step 3: Cross multiply
    180,068x = 279,518 × 279,518
  4. Step 4: Simplify right side
    180,068x = 78,130,312,324
  5. Step 5: Solve for x
    x = 78,130,312,324/180,068
  6. Step 6: Final answer
    x = 433,893.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.