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Finding the Third Proportional to 315,332 and 729,254

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Solution

The third proportional to 315,332 and 729,254 is: 1,686,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,332 : 729,254 = 729,254 : x
  2. Step 2: Convert to fraction form
    315,332/729,254 = 729,254/x
  3. Step 3: Cross multiply
    315,332x = 729,254 × 729,254
  4. Step 4: Simplify right side
    315,332x = 531,811,396,516
  5. Step 5: Solve for x
    x = 531,811,396,516/315,332
  6. Step 6: Final answer
    x = 1,686,512.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.