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Finding the Third Proportional to 257,744 and 376,410

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Solution

The third proportional to 257,744 and 376,410 is: 549,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,744 : 376,410 = 376,410 : x
  2. Step 2: Convert to fraction form
    257,744/376,410 = 376,410/x
  3. Step 3: Cross multiply
    257,744x = 376,410 × 376,410
  4. Step 4: Simplify right side
    257,744x = 141,684,488,100
  5. Step 5: Solve for x
    x = 141,684,488,100/257,744
  6. Step 6: Final answer
    x = 549,710.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.