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Finding the Third Proportional to 78,817 and 172,964

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Solution

The third proportional to 78,817 and 172,964 is: 379,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,817 : 172,964 = 172,964 : x
  2. Step 2: Convert to fraction form
    78,817/172,964 = 172,964/x
  3. Step 3: Cross multiply
    78,817x = 172,964 × 172,964
  4. Step 4: Simplify right side
    78,817x = 29,916,545,296
  5. Step 5: Solve for x
    x = 29,916,545,296/78,817
  6. Step 6: Final answer
    x = 379,569.70

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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.