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Finding the Third Proportional to 66,192 and 142,746

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Solution

The third proportional to 66,192 and 142,746 is: 307,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,192 : 142,746 = 142,746 : x
  2. Step 2: Convert to fraction form
    66,192/142,746 = 142,746/x
  3. Step 3: Cross multiply
    66,192x = 142,746 × 142,746
  4. Step 4: Simplify right side
    66,192x = 20,376,420,516
  5. Step 5: Solve for x
    x = 20,376,420,516/66,192
  6. Step 6: Final answer
    x = 307,838.12

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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.