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Finding the Third Proportional to 153,588 and 330,498

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Solution

The third proportional to 153,588 and 330,498 is: 711,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,588 : 330,498 = 330,498 : x
  2. Step 2: Convert to fraction form
    153,588/330,498 = 330,498/x
  3. Step 3: Cross multiply
    153,588x = 330,498 × 330,498
  4. Step 4: Simplify right side
    153,588x = 109,228,928,004
  5. Step 5: Solve for x
    x = 109,228,928,004/153,588
  6. Step 6: Final answer
    x = 711,181.39

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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.