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Finding the Third Proportional to 426,966 and 618,417

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Solution

The third proportional to 426,966 and 618,417 is: 895,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,966 : 618,417 = 618,417 : x
  2. Step 2: Convert to fraction form
    426,966/618,417 = 618,417/x
  3. Step 3: Cross multiply
    426,966x = 618,417 × 618,417
  4. Step 4: Simplify right side
    426,966x = 382,439,585,889
  5. Step 5: Solve for x
    x = 382,439,585,889/426,966
  6. Step 6: Final answer
    x = 895,714.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.