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Finding the Third Proportional to 52,130 and 112,525

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Solution

The third proportional to 52,130 and 112,525 is: 242,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,130 : 112,525 = 112,525 : x
  2. Step 2: Convert to fraction form
    52,130/112,525 = 112,525/x
  3. Step 3: Cross multiply
    52,130x = 112,525 × 112,525
  4. Step 4: Simplify right side
    52,130x = 12,661,875,625
  5. Step 5: Solve for x
    x = 12,661,875,625/52,130
  6. Step 6: Final answer
    x = 242,890.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.