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Finding the Third Proportional to 68,345 and 147,919

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Solution

The third proportional to 68,345 and 147,919 is: 320,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,345 : 147,919 = 147,919 : x
  2. Step 2: Convert to fraction form
    68,345/147,919 = 147,919/x
  3. Step 3: Cross multiply
    68,345x = 147,919 × 147,919
  4. Step 4: Simplify right side
    68,345x = 21,880,030,561
  5. Step 5: Solve for x
    x = 21,880,030,561/68,345
  6. Step 6: Final answer
    x = 320,140.91

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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.