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Finding the Third Proportional to 395,159 and 611,289

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Solution

The third proportional to 395,159 and 611,289 is: 945,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,159 : 611,289 = 611,289 : x
  2. Step 2: Convert to fraction form
    395,159/611,289 = 611,289/x
  3. Step 3: Cross multiply
    395,159x = 611,289 × 611,289
  4. Step 4: Simplify right side
    395,159x = 373,674,241,521
  5. Step 5: Solve for x
    x = 373,674,241,521/395,159
  6. Step 6: Final answer
    x = 945,630.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.