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Finding the Third Proportional to 29,970 and 64,692

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Solution

The third proportional to 29,970 and 64,692 is: 139,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970 : 64,692 = 64,692 : x
  2. Step 2: Convert to fraction form
    29,970/64,692 = 64,692/x
  3. Step 3: Cross multiply
    29,970x = 64,692 × 64,692
  4. Step 4: Simplify right side
    29,970x = 4,185,054,864
  5. Step 5: Solve for x
    x = 4,185,054,864/29,970
  6. Step 6: Final answer
    x = 139,641.47

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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.