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Finding the Third Proportional to 317,778 and 445,365

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Solution

The third proportional to 317,778 and 445,365 is: 624,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,778 : 445,365 = 445,365 : x
  2. Step 2: Convert to fraction form
    317,778/445,365 = 445,365/x
  3. Step 3: Cross multiply
    317,778x = 445,365 × 445,365
  4. Step 4: Simplify right side
    317,778x = 198,349,983,225
  5. Step 5: Solve for x
    x = 198,349,983,225/317,778
  6. Step 6: Final answer
    x = 624,177.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.