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Finding the Third Proportional to 66,627 and 141,880.50

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Solution

The third proportional to 66,627 and 141,880.50 is: 302,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,627 : 141,880.50 = 141,880.50 : x
  2. Step 2: Convert to fraction form
    66,627/141,880.50 = 141,880.50/x
  3. Step 3: Cross multiply
    66,627x = 141,880.50 × 141,880.50
  4. Step 4: Simplify right side
    66,627x = 20,130,076,280.25
  5. Step 5: Solve for x
    x = 20,130,076,280.25/66,627
  6. Step 6: Final answer
    x = 302,130.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.