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Finding the Third Proportional to 67,663 and 146,261

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Solution

The third proportional to 67,663 and 146,261 is: 316,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,663 : 146,261 = 146,261 : x
  2. Step 2: Convert to fraction form
    67,663/146,261 = 146,261/x
  3. Step 3: Cross multiply
    67,663x = 146,261 × 146,261
  4. Step 4: Simplify right side
    67,663x = 21,392,280,121
  5. Step 5: Solve for x
    x = 21,392,280,121/67,663
  6. Step 6: Final answer
    x = 316,159.20

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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.