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Finding the Third Proportional to 148,610 and 319,455

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Solution

The third proportional to 148,610 and 319,455 is: 686,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,610 : 319,455 = 319,455 : x
  2. Step 2: Convert to fraction form
    148,610/319,455 = 319,455/x
  3. Step 3: Cross multiply
    148,610x = 319,455 × 319,455
  4. Step 4: Simplify right side
    148,610x = 102,051,497,025
  5. Step 5: Solve for x
    x = 102,051,497,025/148,610
  6. Step 6: Final answer
    x = 686,706.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.