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Finding the Third Proportional to 400,565 and 618,510

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Solution

The third proportional to 400,565 and 618,510 is: 955,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,565 : 618,510 = 618,510 : x
  2. Step 2: Convert to fraction form
    400,565/618,510 = 618,510/x
  3. Step 3: Cross multiply
    400,565x = 618,510 × 618,510
  4. Step 4: Simplify right side
    400,565x = 382,554,620,100
  5. Step 5: Solve for x
    x = 382,554,620,100/400,565
  6. Step 6: Final answer
    x = 955,037.56

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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.