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Finding the Third Proportional to 80,354.81 and 172,802.63

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Solution

The third proportional to 80,354.81 and 172,802.63 is: 371,611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,354.81 : 172,802.63 = 172,802.63 : x
  2. Step 2: Convert to fraction form
    80,354.81/172,802.63 = 172,802.63/x
  3. Step 3: Cross multiply
    80,354.81x = 172,802.63 × 172,802.63
  4. Step 4: Simplify right side
    80,354.81x = 29,860,747,206.89
  5. Step 5: Solve for x
    x = 29,860,747,206.89/80,354.81
  6. Step 6: Final answer
    x = 371,611.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.