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Finding the Third Proportional to 147,664 and 316,336

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Solution

The third proportional to 147,664 and 316,336 is: 677,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,664 : 316,336 = 316,336 : x
  2. Step 2: Convert to fraction form
    147,664/316,336 = 316,336/x
  3. Step 3: Cross multiply
    147,664x = 316,336 × 316,336
  4. Step 4: Simplify right side
    147,664x = 100,068,464,896
  5. Step 5: Solve for x
    x = 100,068,464,896/147,664
  6. Step 6: Final answer
    x = 677,676.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.