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Finding the Third Proportional to 56,076 and 118,485

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Solution

The third proportional to 56,076 and 118,485 is: 250,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,076 : 118,485 = 118,485 : x
  2. Step 2: Convert to fraction form
    56,076/118,485 = 118,485/x
  3. Step 3: Cross multiply
    56,076x = 118,485 × 118,485
  4. Step 4: Simplify right side
    56,076x = 14,038,695,225
  5. Step 5: Solve for x
    x = 14,038,695,225/56,076
  6. Step 6: Final answer
    x = 250,351.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.