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Finding the Third Proportional to 148,088.25 and 319,816.69

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Solution

The third proportional to 148,088.25 and 319,816.69 is: 690,687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,088.25 : 319,816.69 = 319,816.69 : x
  2. Step 2: Convert to fraction form
    148,088.25/319,816.69 = 319,816.69/x
  3. Step 3: Cross multiply
    148,088.25x = 319,816.69 × 319,816.69
  4. Step 4: Simplify right side
    148,088.25x = 102,282,713,603.47
  5. Step 5: Solve for x
    x = 102,282,713,603.47/148,088.25
  6. Step 6: Final answer
    x = 690,687.57

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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.