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Finding the Third Proportional to 400,563 and 618,507

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Solution

The third proportional to 400,563 and 618,507 is: 955,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,563 : 618,507 = 618,507 : x
  2. Step 2: Convert to fraction form
    400,563/618,507 = 618,507/x
  3. Step 3: Cross multiply
    400,563x = 618,507 × 618,507
  4. Step 4: Simplify right side
    400,563x = 382,550,909,049
  5. Step 5: Solve for x
    x = 382,550,909,049/400,563
  6. Step 6: Final answer
    x = 955,033.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.