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Finding the Third Proportional to 119,460 and 257,424

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Solution

The third proportional to 119,460 and 257,424 is: 554,722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,460 : 257,424 = 257,424 : x
  2. Step 2: Convert to fraction form
    119,460/257,424 = 257,424/x
  3. Step 3: Cross multiply
    119,460x = 257,424 × 257,424
  4. Step 4: Simplify right side
    119,460x = 66,267,115,776
  5. Step 5: Solve for x
    x = 66,267,115,776/119,460
  6. Step 6: Final answer
    x = 554,722.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.