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Finding the Third Proportional to 355,289 and 761,226

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Solution

The third proportional to 355,289 and 761,226 is: 1,630,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,289 : 761,226 = 761,226 : x
  2. Step 2: Convert to fraction form
    355,289/761,226 = 761,226/x
  3. Step 3: Cross multiply
    355,289x = 761,226 × 761,226
  4. Step 4: Simplify right side
    355,289x = 579,465,023,076
  5. Step 5: Solve for x
    x = 579,465,023,076/355,289
  6. Step 6: Final answer
    x = 1,630,968.09

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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.