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Finding the Third Proportional to 255,632 and 553,574

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Solution

The third proportional to 255,632 and 553,574 is: 1,198,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,632 : 553,574 = 553,574 : x
  2. Step 2: Convert to fraction form
    255,632/553,574 = 553,574/x
  3. Step 3: Cross multiply
    255,632x = 553,574 × 553,574
  4. Step 4: Simplify right side
    255,632x = 306,444,173,476
  5. Step 5: Solve for x
    x = 306,444,173,476/255,632
  6. Step 6: Final answer
    x = 1,198,770.79

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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.