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Finding the Third Proportional to 153,930.94 and 330,784.88

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Solution

The third proportional to 153,930.94 and 330,784.88 is: 710,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,930.94 : 330,784.88 = 330,784.88 : x
  2. Step 2: Convert to fraction form
    153,930.94/330,784.88 = 330,784.88/x
  3. Step 3: Cross multiply
    153,930.94x = 330,784.88 × 330,784.88
  4. Step 4: Simplify right side
    153,930.94x = 109,418,633,528.77
  5. Step 5: Solve for x
    x = 109,418,633,528.77/153,930.94
  6. Step 6: Final answer
    x = 710,829.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.