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Finding the Third Proportional to 281,664 and 432,336

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Solution

The third proportional to 281,664 and 432,336 is: 663,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,664 : 432,336 = 432,336 : x
  2. Step 2: Convert to fraction form
    281,664/432,336 = 432,336/x
  3. Step 3: Cross multiply
    281,664x = 432,336 × 432,336
  4. Step 4: Simplify right side
    281,664x = 186,914,416,896
  5. Step 5: Solve for x
    x = 186,914,416,896/281,664
  6. Step 6: Final answer
    x = 663,607.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.