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Finding the Third Proportional to 71,115 and 103,746

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Solution

The third proportional to 71,115 and 103,746 is: 151,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,115 : 103,746 = 103,746 : x
  2. Step 2: Convert to fraction form
    71,115/103,746 = 103,746/x
  3. Step 3: Cross multiply
    71,115x = 103,746 × 103,746
  4. Step 4: Simplify right side
    71,115x = 10,763,232,516
  5. Step 5: Solve for x
    x = 10,763,232,516/71,115
  6. Step 6: Final answer
    x = 151,349.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.