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Finding the Third Proportional to 55,400 and 118,572

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Solution

The third proportional to 55,400 and 118,572 is: 253,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,400 : 118,572 = 118,572 : x
  2. Step 2: Convert to fraction form
    55,400/118,572 = 118,572/x
  3. Step 3: Cross multiply
    55,400x = 118,572 × 118,572
  4. Step 4: Simplify right side
    55,400x = 14,059,319,184
  5. Step 5: Solve for x
    x = 14,059,319,184/55,400
  6. Step 6: Final answer
    x = 253,778.32

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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.