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Finding the Third Proportional to 66,582 and 141,426

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Solution

The third proportional to 66,582 and 141,426 is: 300,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,582 : 141,426 = 141,426 : x
  2. Step 2: Convert to fraction form
    66,582/141,426 = 141,426/x
  3. Step 3: Cross multiply
    66,582x = 141,426 × 141,426
  4. Step 4: Simplify right side
    66,582x = 20,001,313,476
  5. Step 5: Solve for x
    x = 20,001,313,476/66,582
  6. Step 6: Final answer
    x = 300,401.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.