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Finding the Third Proportional to 66,429 and 143,712

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Solution

The third proportional to 66,429 and 143,712 is: 310,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,429 : 143,712 = 143,712 : x
  2. Step 2: Convert to fraction form
    66,429/143,712 = 143,712/x
  3. Step 3: Cross multiply
    66,429x = 143,712 × 143,712
  4. Step 4: Simplify right side
    66,429x = 20,653,138,944
  5. Step 5: Solve for x
    x = 20,653,138,944/66,429
  6. Step 6: Final answer
    x = 310,905.46

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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.