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Finding the Third Proportional to 64,972 and 141,040

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Solution

The third proportional to 64,972 and 141,040 is: 306,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972 : 141,040 = 141,040 : x
  2. Step 2: Convert to fraction form
    64,972/141,040 = 141,040/x
  3. Step 3: Cross multiply
    64,972x = 141,040 × 141,040
  4. Step 4: Simplify right side
    64,972x = 19,892,281,600
  5. Step 5: Solve for x
    x = 19,892,281,600/64,972
  6. Step 6: Final answer
    x = 306,166.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.