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Finding the Third Proportional to 66,300 and 145,752

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Solution

The third proportional to 66,300 and 145,752 is: 320,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,300 : 145,752 = 145,752 : x
  2. Step 2: Convert to fraction form
    66,300/145,752 = 145,752/x
  3. Step 3: Cross multiply
    66,300x = 145,752 × 145,752
  4. Step 4: Simplify right side
    66,300x = 21,243,645,504
  5. Step 5: Solve for x
    x = 21,243,645,504/66,300
  6. Step 6: Final answer
    x = 320,416.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.