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Finding the Third Proportional to 153,141.75 and 330,907.50

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Solution

The third proportional to 153,141.75 and 330,907.50 is: 715,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,141.75 : 330,907.50 = 330,907.50 : x
  2. Step 2: Convert to fraction form
    153,141.75/330,907.50 = 330,907.50/x
  3. Step 3: Cross multiply
    153,141.75x = 330,907.50 × 330,907.50
  4. Step 4: Simplify right side
    153,141.75x = 109,499,773,556.25
  5. Step 5: Solve for x
    x = 109,499,773,556.25/153,141.75
  6. Step 6: Final answer
    x = 715,022.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.