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Finding the Third Proportional to 64,336 and 101,058

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Solution

The third proportional to 64,336 and 101,058 is: 158,740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,336 : 101,058 = 101,058 : x
  2. Step 2: Convert to fraction form
    64,336/101,058 = 101,058/x
  3. Step 3: Cross multiply
    64,336x = 101,058 × 101,058
  4. Step 4: Simplify right side
    64,336x = 10,212,719,364
  5. Step 5: Solve for x
    x = 10,212,719,364/64,336
  6. Step 6: Final answer
    x = 158,740.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.