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Finding the Third Proportional to 257,582 and 378,924

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Solution

The third proportional to 257,582 and 378,924 is: 557,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,582 : 378,924 = 378,924 : x
  2. Step 2: Convert to fraction form
    257,582/378,924 = 378,924/x
  3. Step 3: Cross multiply
    257,582x = 378,924 × 378,924
  4. Step 4: Simplify right side
    257,582x = 143,583,397,776
  5. Step 5: Solve for x
    x = 143,583,397,776/257,582
  6. Step 6: Final answer
    x = 557,427.92

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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.