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Finding the Third Proportional to 144,154 and 315,475

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Solution

The third proportional to 144,154 and 315,475 is: 690,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,154 : 315,475 = 315,475 : x
  2. Step 2: Convert to fraction form
    144,154/315,475 = 315,475/x
  3. Step 3: Cross multiply
    144,154x = 315,475 × 315,475
  4. Step 4: Simplify right side
    144,154x = 99,524,475,625
  5. Step 5: Solve for x
    x = 99,524,475,625/144,154
  6. Step 6: Final answer
    x = 690,403.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.