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Finding the Third Proportional to 64,700 and 86,943

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Solution

The third proportional to 64,700 and 86,943 is: 116,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,700 : 86,943 = 86,943 : x
  2. Step 2: Convert to fraction form
    64,700/86,943 = 86,943/x
  3. Step 3: Cross multiply
    64,700x = 86,943 × 86,943
  4. Step 4: Simplify right side
    64,700x = 7,559,085,249
  5. Step 5: Solve for x
    x = 7,559,085,249/64,700
  6. Step 6: Final answer
    x = 116,832.85

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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.