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Finding the Third Proportional to 78,880.50 and 172,216.13

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Solution

The third proportional to 78,880.50 and 172,216.13 is: 375,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,880.50 : 172,216.13 = 172,216.13 : x
  2. Step 2: Convert to fraction form
    78,880.50/172,216.13 = 172,216.13/x
  3. Step 3: Cross multiply
    78,880.50x = 172,216.13 × 172,216.13
  4. Step 4: Simplify right side
    78,880.50x = 29,658,393,710.02
  5. Step 5: Solve for x
    x = 29,658,393,710.02/78,880.50
  6. Step 6: Final answer
    x = 375,991.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.