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Finding the Third Proportional to 134,881 and 291,631

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Solution

The third proportional to 134,881 and 291,631 is: 630,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,881 : 291,631 = 291,631 : x
  2. Step 2: Convert to fraction form
    134,881/291,631 = 291,631/x
  3. Step 3: Cross multiply
    134,881x = 291,631 × 291,631
  4. Step 4: Simplify right side
    134,881x = 85,048,640,161
  5. Step 5: Solve for x
    x = 85,048,640,161/134,881
  6. Step 6: Final answer
    x = 630,545.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.