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Finding the Third Proportional to 66,880 and 145,424

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Solution

The third proportional to 66,880 and 145,424 is: 316,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,880 : 145,424 = 145,424 : x
  2. Step 2: Convert to fraction form
    66,880/145,424 = 145,424/x
  3. Step 3: Cross multiply
    66,880x = 145,424 × 145,424
  4. Step 4: Simplify right side
    66,880x = 21,148,139,776
  5. Step 5: Solve for x
    x = 21,148,139,776/66,880
  6. Step 6: Final answer
    x = 316,210.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.