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Finding the Third Proportional to 77,746.50 and 163,794.94

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Solution

The third proportional to 77,746.50 and 163,794.94 is: 345,080.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,746.50 : 163,794.94 = 163,794.94 : x
  2. Step 2: Convert to fraction form
    77,746.50/163,794.94 = 163,794.94/x
  3. Step 3: Cross multiply
    77,746.50x = 163,794.94 × 163,794.94
  4. Step 4: Simplify right side
    77,746.50x = 26,828,781,550.63
  5. Step 5: Solve for x
    x = 26,828,781,550.63/77,746.50
  6. Step 6: Final answer
    x = 345,080.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.