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Finding the Third Proportional to 257,577 and 378,643

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Solution

The third proportional to 257,577 and 378,643 is: 556,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,577 : 378,643 = 378,643 : x
  2. Step 2: Convert to fraction form
    257,577/378,643 = 378,643/x
  3. Step 3: Cross multiply
    257,577x = 378,643 × 378,643
  4. Step 4: Simplify right side
    257,577x = 143,370,521,449
  5. Step 5: Solve for x
    x = 143,370,521,449/257,577
  6. Step 6: Final answer
    x = 556,612.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.