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Finding the Third Proportional to 78,826.50 and 170,776.13

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Solution

The third proportional to 78,826.50 and 170,776.13 is: 369,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,826.50 : 170,776.13 = 170,776.13 : x
  2. Step 2: Convert to fraction form
    78,826.50/170,776.13 = 170,776.13/x
  3. Step 3: Cross multiply
    78,826.50x = 170,776.13 × 170,776.13
  4. Step 4: Simplify right side
    78,826.50x = 29,164,484,870.02
  5. Step 5: Solve for x
    x = 29,164,484,870.02/78,826.50
  6. Step 6: Final answer
    x = 369,983.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.