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Finding the Third Proportional to 55,428 and 118,731

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Solution

The third proportional to 55,428 and 118,731 is: 254,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,428 : 118,731 = 118,731 : x
  2. Step 2: Convert to fraction form
    55,428/118,731 = 118,731/x
  3. Step 3: Cross multiply
    55,428x = 118,731 × 118,731
  4. Step 4: Simplify right side
    55,428x = 14,097,050,361
  5. Step 5: Solve for x
    x = 14,097,050,361/55,428
  6. Step 6: Final answer
    x = 254,330.85

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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.