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Finding the Third Proportional to 148,120 and 211,663

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Solution

The third proportional to 148,120 and 211,663 is: 302,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,120 : 211,663 = 211,663 : x
  2. Step 2: Convert to fraction form
    148,120/211,663 = 211,663/x
  3. Step 3: Cross multiply
    148,120x = 211,663 × 211,663
  4. Step 4: Simplify right side
    148,120x = 44,801,225,569
  5. Step 5: Solve for x
    x = 44,801,225,569/148,120
  6. Step 6: Final answer
    x = 302,465.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.