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Finding the Third Proportional to 144,148 and 315,448

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Solution

The third proportional to 144,148 and 315,448 is: 690,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,148 : 315,448 = 315,448 : x
  2. Step 2: Convert to fraction form
    144,148/315,448 = 315,448/x
  3. Step 3: Cross multiply
    144,148x = 315,448 × 315,448
  4. Step 4: Simplify right side
    144,148x = 99,507,440,704
  5. Step 5: Solve for x
    x = 99,507,440,704/144,148
  6. Step 6: Final answer
    x = 690,314.40

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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.