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Finding the Third Proportional to 66,400 and 143,365

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Solution

The third proportional to 66,400 and 143,365 is: 309,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,400 : 143,365 = 143,365 : x
  2. Step 2: Convert to fraction form
    66,400/143,365 = 143,365/x
  3. Step 3: Cross multiply
    66,400x = 143,365 × 143,365
  4. Step 4: Simplify right side
    66,400x = 20,553,523,225
  5. Step 5: Solve for x
    x = 20,553,523,225/66,400
  6. Step 6: Final answer
    x = 309,541.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.