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Finding the Third Proportional to 280,309 and 440,552

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Solution

The third proportional to 280,309 and 440,552 is: 692,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,309 : 440,552 = 440,552 : x
  2. Step 2: Convert to fraction form
    280,309/440,552 = 440,552/x
  3. Step 3: Cross multiply
    280,309x = 440,552 × 440,552
  4. Step 4: Simplify right side
    280,309x = 194,086,064,704
  5. Step 5: Solve for x
    x = 194,086,064,704/280,309
  6. Step 6: Final answer
    x = 692,400.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.