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Finding the Third Proportional to 263,390 and 558,127

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Solution

The third proportional to 263,390 and 558,127 is: 1,182,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,390 : 558,127 = 558,127 : x
  2. Step 2: Convert to fraction form
    263,390/558,127 = 558,127/x
  3. Step 3: Cross multiply
    263,390x = 558,127 × 558,127
  4. Step 4: Simplify right side
    263,390x = 311,505,748,129
  5. Step 5: Solve for x
    x = 311,505,748,129/263,390
  6. Step 6: Final answer
    x = 1,182,678.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.