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Finding the Third Proportional to 384,729 and 660,132

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Solution

The third proportional to 384,729 and 660,132 is: 1,132,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,729 : 660,132 = 660,132 : x
  2. Step 2: Convert to fraction form
    384,729/660,132 = 660,132/x
  3. Step 3: Cross multiply
    384,729x = 660,132 × 660,132
  4. Step 4: Simplify right side
    384,729x = 435,774,257,424
  5. Step 5: Solve for x
    x = 435,774,257,424/384,729
  6. Step 6: Final answer
    x = 1,132,678.48

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.