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Finding the Third Proportional to 257,674 and 371,132

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Solution

The third proportional to 257,674 and 371,132 is: 534,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,674 : 371,132 = 371,132 : x
  2. Step 2: Convert to fraction form
    257,674/371,132 = 371,132/x
  3. Step 3: Cross multiply
    257,674x = 371,132 × 371,132
  4. Step 4: Simplify right side
    257,674x = 137,738,961,424
  5. Step 5: Solve for x
    x = 137,738,961,424/257,674
  6. Step 6: Final answer
    x = 534,547.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.