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Finding the Third Proportional to 64,834 and 143,276

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Solution

The third proportional to 64,834 and 143,276 is: 316,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,834 : 143,276 = 143,276 : x
  2. Step 2: Convert to fraction form
    64,834/143,276 = 143,276/x
  3. Step 3: Cross multiply
    64,834x = 143,276 × 143,276
  4. Step 4: Simplify right side
    64,834x = 20,528,012,176
  5. Step 5: Solve for x
    x = 20,528,012,176/64,834
  6. Step 6: Final answer
    x = 316,624.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.