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Finding the Third Proportional to 76,485 and 112,476

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Solution

The third proportional to 76,485 and 112,476 is: 165,403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,485 : 112,476 = 112,476 : x
  2. Step 2: Convert to fraction form
    76,485/112,476 = 112,476/x
  3. Step 3: Cross multiply
    76,485x = 112,476 × 112,476
  4. Step 4: Simplify right side
    76,485x = 12,650,850,576
  5. Step 5: Solve for x
    x = 12,650,850,576/76,485
  6. Step 6: Final answer
    x = 165,403.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.