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Finding the Third Proportional to 132,050 and 257,485

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Solution

The third proportional to 132,050 and 257,485 is: 502,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,050 : 257,485 = 257,485 : x
  2. Step 2: Convert to fraction form
    132,050/257,485 = 257,485/x
  3. Step 3: Cross multiply
    132,050x = 257,485 × 257,485
  4. Step 4: Simplify right side
    132,050x = 66,298,525,225
  5. Step 5: Solve for x
    x = 66,298,525,225/132,050
  6. Step 6: Final answer
    x = 502,071.38

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.