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Finding the Third Proportional to 301,331 and 442,155

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Solution

The third proportional to 301,331 and 442,155 is: 648,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,331 : 442,155 = 442,155 : x
  2. Step 2: Convert to fraction form
    301,331/442,155 = 442,155/x
  3. Step 3: Cross multiply
    301,331x = 442,155 × 442,155
  4. Step 4: Simplify right side
    301,331x = 195,501,044,025
  5. Step 5: Solve for x
    x = 195,501,044,025/301,331
  6. Step 6: Final answer
    x = 648,791.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.