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Finding the Third Proportional to 116,842.50 and 254,188.13

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Solution

The third proportional to 116,842.50 and 254,188.13 is: 552,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,842.50 : 254,188.13 = 254,188.13 : x
  2. Step 2: Convert to fraction form
    116,842.50/254,188.13 = 254,188.13/x
  3. Step 3: Cross multiply
    116,842.50x = 254,188.13 × 254,188.13
  4. Step 4: Simplify right side
    116,842.50x = 64,611,602,891.02
  5. Step 5: Solve for x
    x = 64,611,602,891.02/116,842.50
  6. Step 6: Final answer
    x = 552,980.32

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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.