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Finding the Third Proportional to 66,484 and 142,310

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Solution

The third proportional to 66,484 and 142,310 is: 304,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,484 : 142,310 = 142,310 : x
  2. Step 2: Convert to fraction form
    66,484/142,310 = 142,310/x
  3. Step 3: Cross multiply
    66,484x = 142,310 × 142,310
  4. Step 4: Simplify right side
    66,484x = 20,252,136,100
  5. Step 5: Solve for x
    x = 20,252,136,100/66,484
  6. Step 6: Final answer
    x = 304,616.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.