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Finding the Third Proportional to 270,488 and 578,500

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Solution

The third proportional to 270,488 and 578,500 is: 1,237,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,488 : 578,500 = 578,500 : x
  2. Step 2: Convert to fraction form
    270,488/578,500 = 578,500/x
  3. Step 3: Cross multiply
    270,488x = 578,500 × 578,500
  4. Step 4: Simplify right side
    270,488x = 334,662,250,000
  5. Step 5: Solve for x
    x = 334,662,250,000/270,488
  6. Step 6: Final answer
    x = 1,237,253.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.