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Finding the Third Proportional to 255,482 and 554,432

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Solution

The third proportional to 255,482 and 554,432 is: 1,203,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,482 : 554,432 = 554,432 : x
  2. Step 2: Convert to fraction form
    255,482/554,432 = 554,432/x
  3. Step 3: Cross multiply
    255,482x = 554,432 × 554,432
  4. Step 4: Simplify right side
    255,482x = 307,394,842,624
  5. Step 5: Solve for x
    x = 307,394,842,624/255,482
  6. Step 6: Final answer
    x = 1,203,195.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.