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Finding the Third Proportional to 76,454 and 118,139

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Solution

The third proportional to 76,454 and 118,139 is: 182,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,454 : 118,139 = 118,139 : x
  2. Step 2: Convert to fraction form
    76,454/118,139 = 118,139/x
  3. Step 3: Cross multiply
    76,454x = 118,139 × 118,139
  4. Step 4: Simplify right side
    76,454x = 13,956,823,321
  5. Step 5: Solve for x
    x = 13,956,823,321/76,454
  6. Step 6: Final answer
    x = 182,551.90

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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.