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Finding the Third Proportional to 65,428 and 143,512

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Solution

The third proportional to 65,428 and 143,512 is: 314,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,428 : 143,512 = 143,512 : x
  2. Step 2: Convert to fraction form
    65,428/143,512 = 143,512/x
  3. Step 3: Cross multiply
    65,428x = 143,512 × 143,512
  4. Step 4: Simplify right side
    65,428x = 20,595,694,144
  5. Step 5: Solve for x
    x = 20,595,694,144/65,428
  6. Step 6: Final answer
    x = 314,784.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.