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Finding the Third Proportional to 335,154 and 729,412

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Solution

The third proportional to 335,154 and 729,412 is: 1,587,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,154 : 729,412 = 729,412 : x
  2. Step 2: Convert to fraction form
    335,154/729,412 = 729,412/x
  3. Step 3: Cross multiply
    335,154x = 729,412 × 729,412
  4. Step 4: Simplify right side
    335,154x = 532,041,865,744
  5. Step 5: Solve for x
    x = 532,041,865,744/335,154
  6. Step 6: Final answer
    x = 1,587,454.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.