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Finding the Third Proportional to 257,595 and 378,943.50

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Solution

The third proportional to 257,595 and 378,943.50 is: 557,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,595 : 378,943.50 = 378,943.50 : x
  2. Step 2: Convert to fraction form
    257,595/378,943.50 = 378,943.50/x
  3. Step 3: Cross multiply
    257,595x = 378,943.50 × 378,943.50
  4. Step 4: Simplify right side
    257,595x = 143,598,176,192.25
  5. Step 5: Solve for x
    x = 143,598,176,192.25/257,595
  6. Step 6: Final answer
    x = 557,457.16

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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.