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Finding the Third Proportional to 78,990.19 and 169,097.63

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Solution

The third proportional to 78,990.19 and 169,097.63 is: 361,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,990.19 : 169,097.63 = 169,097.63 : x
  2. Step 2: Convert to fraction form
    78,990.19/169,097.63 = 169,097.63/x
  3. Step 3: Cross multiply
    78,990.19x = 169,097.63 × 169,097.63
  4. Step 4: Simplify right side
    78,990.19x = 28,594,006,780.64
  5. Step 5: Solve for x
    x = 28,594,006,780.64/78,990.19
  6. Step 6: Final answer
    x = 361,994.42

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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.