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Finding the Third Proportional to 66,420 and 140,352

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Solution

The third proportional to 66,420 and 140,352 is: 296,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,420 : 140,352 = 140,352 : x
  2. Step 2: Convert to fraction form
    66,420/140,352 = 140,352/x
  3. Step 3: Cross multiply
    66,420x = 140,352 × 140,352
  4. Step 4: Simplify right side
    66,420x = 19,698,683,904
  5. Step 5: Solve for x
    x = 19,698,683,904/66,420
  6. Step 6: Final answer
    x = 296,577.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.