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Finding the Third Proportional to 67,128 and 145,904

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Solution

The third proportional to 67,128 and 145,904 is: 317,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,128 : 145,904 = 145,904 : x
  2. Step 2: Convert to fraction form
    67,128/145,904 = 145,904/x
  3. Step 3: Cross multiply
    67,128x = 145,904 × 145,904
  4. Step 4: Simplify right side
    67,128x = 21,287,977,216
  5. Step 5: Solve for x
    x = 21,287,977,216/67,128
  6. Step 6: Final answer
    x = 317,125.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.