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Finding the Third Proportional to 217,664 and 319,044

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Solution

The third proportional to 217,664 and 319,044 is: 467,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,664 : 319,044 = 319,044 : x
  2. Step 2: Convert to fraction form
    217,664/319,044 = 319,044/x
  3. Step 3: Cross multiply
    217,664x = 319,044 × 319,044
  4. Step 4: Simplify right side
    217,664x = 101,789,073,936
  5. Step 5: Solve for x
    x = 101,789,073,936/217,664
  6. Step 6: Final answer
    x = 467,643.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.