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Finding the Third Proportional to 400,257 and 608,643

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Solution

The third proportional to 400,257 and 608,643 is: 925,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,257 : 608,643 = 608,643 : x
  2. Step 2: Convert to fraction form
    400,257/608,643 = 608,643/x
  3. Step 3: Cross multiply
    400,257x = 608,643 × 608,643
  4. Step 4: Simplify right side
    400,257x = 370,446,301,449
  5. Step 5: Solve for x
    x = 370,446,301,449/400,257
  6. Step 6: Final answer
    x = 925,521.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.