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Finding the Third Proportional to 365,634 and 555,507

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Solution

The third proportional to 365,634 and 555,507 is: 843,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,634 : 555,507 = 555,507 : x
  2. Step 2: Convert to fraction form
    365,634/555,507 = 555,507/x
  3. Step 3: Cross multiply
    365,634x = 555,507 × 555,507
  4. Step 4: Simplify right side
    365,634x = 308,588,027,049
  5. Step 5: Solve for x
    x = 308,588,027,049/365,634
  6. Step 6: Final answer
    x = 843,980.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.