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Finding the Third Proportional to 67,068 and 145,669

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Solution

The third proportional to 67,068 and 145,669 is: 316,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,068 : 145,669 = 145,669 : x
  2. Step 2: Convert to fraction form
    67,068/145,669 = 145,669/x
  3. Step 3: Cross multiply
    67,068x = 145,669 × 145,669
  4. Step 4: Simplify right side
    67,068x = 21,219,457,561
  5. Step 5: Solve for x
    x = 21,219,457,561/67,068
  6. Step 6: Final answer
    x = 316,387.21

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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.