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Finding the Third Proportional to 105,340.50 and 248,680.13

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Solution

The third proportional to 105,340.50 and 248,680.13 is: 587,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,340.50 : 248,680.13 = 248,680.13 : x
  2. Step 2: Convert to fraction form
    105,340.50/248,680.13 = 248,680.13/x
  3. Step 3: Cross multiply
    105,340.50x = 248,680.13 × 248,680.13
  4. Step 4: Simplify right side
    105,340.50x = 61,841,804,570.02
  5. Step 5: Solve for x
    x = 61,841,804,570.02/105,340.50
  6. Step 6: Final answer
    x = 587,065.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.