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Finding the Third Proportional to 257,607 and 378,968.63

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Solution

The third proportional to 257,607 and 378,968.63 is: 557,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,607 : 378,968.63 = 378,968.63 : x
  2. Step 2: Convert to fraction form
    257,607/378,968.63 = 378,968.63/x
  3. Step 3: Cross multiply
    257,607x = 378,968.63 × 378,968.63
  4. Step 4: Simplify right side
    257,607x = 143,617,218,734.39
  5. Step 5: Solve for x
    x = 143,617,218,734.39/257,607
  6. Step 6: Final answer
    x = 557,505.11

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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.