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Finding the Third Proportional to 148,089.09 and 319,800.66

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Solution

The third proportional to 148,089.09 and 319,800.66 is: 690,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,089.09 : 319,800.66 = 319,800.66 : x
  2. Step 2: Convert to fraction form
    148,089.09/319,800.66 = 319,800.66/x
  3. Step 3: Cross multiply
    148,089.09x = 319,800.66 × 319,800.66
  4. Step 4: Simplify right side
    148,089.09x = 102,272,459,737.93
  5. Step 5: Solve for x
    x = 102,272,459,737.93/148,089.09
  6. Step 6: Final answer
    x = 690,614.39

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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.