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Finding the Third Proportional to 98,840.25 and 233,212.50

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Solution

The third proportional to 98,840.25 and 233,212.50 is: 550,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,840.25 : 233,212.50 = 233,212.50 : x
  2. Step 2: Convert to fraction form
    98,840.25/233,212.50 = 233,212.50/x
  3. Step 3: Cross multiply
    98,840.25x = 233,212.50 × 233,212.50
  4. Step 4: Simplify right side
    98,840.25x = 54,388,070,156.25
  5. Step 5: Solve for x
    x = 54,388,070,156.25/98,840.25
  6. Step 6: Final answer
    x = 550,262.37

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1.5x scale

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.