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Finding the Third Proportional to 426,816 and 914,487

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Solution

The third proportional to 426,816 and 914,487 is: 1,959,360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,816 : 914,487 = 914,487 : x
  2. Step 2: Convert to fraction form
    426,816/914,487 = 914,487/x
  3. Step 3: Cross multiply
    426,816x = 914,487 × 914,487
  4. Step 4: Simplify right side
    426,816x = 836,286,473,169
  5. Step 5: Solve for x
    x = 836,286,473,169/426,816
  6. Step 6: Final answer
    x = 1,959,360.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.