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Finding the Third Proportional to 64,718 and 86,970

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Solution

The third proportional to 64,718 and 86,970 is: 116,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,718 : 86,970 = 86,970 : x
  2. Step 2: Convert to fraction form
    64,718/86,970 = 86,970/x
  3. Step 3: Cross multiply
    64,718x = 86,970 × 86,970
  4. Step 4: Simplify right side
    64,718x = 7,563,780,900
  5. Step 5: Solve for x
    x = 7,563,780,900/64,718
  6. Step 6: Final answer
    x = 116,872.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.