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Finding the Third Proportional to 68,460 and 147,038

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Solution

The third proportional to 68,460 and 147,038 is: 315,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,460 : 147,038 = 147,038 : x
  2. Step 2: Convert to fraction form
    68,460/147,038 = 147,038/x
  3. Step 3: Cross multiply
    68,460x = 147,038 × 147,038
  4. Step 4: Simplify right side
    68,460x = 21,620,173,444
  5. Step 5: Solve for x
    x = 21,620,173,444/68,460
  6. Step 6: Final answer
    x = 315,807.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.