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Finding the Third Proportional to 255,996 and 558,639

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Solution

The third proportional to 255,996 and 558,639 is: 1,219,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,996 : 558,639 = 558,639 : x
  2. Step 2: Convert to fraction form
    255,996/558,639 = 558,639/x
  3. Step 3: Cross multiply
    255,996x = 558,639 × 558,639
  4. Step 4: Simplify right side
    255,996x = 312,077,532,321
  5. Step 5: Solve for x
    x = 312,077,532,321/255,996
  6. Step 6: Final answer
    x = 1,219,071.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.