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Finding the Third Proportional to 148,006 and 319,664

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Solution

The third proportional to 148,006 and 319,664 is: 690,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,006 : 319,664 = 319,664 : x
  2. Step 2: Convert to fraction form
    148,006/319,664 = 319,664/x
  3. Step 3: Cross multiply
    148,006x = 319,664 × 319,664
  4. Step 4: Simplify right side
    148,006x = 102,185,072,896
  5. Step 5: Solve for x
    x = 102,185,072,896/148,006
  6. Step 6: Final answer
    x = 690,411.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.