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Finding the Third Proportional to 148,256 and 315,306

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Solution

The third proportional to 148,256 and 315,306 is: 670,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,256 : 315,306 = 315,306 : x
  2. Step 2: Convert to fraction form
    148,256/315,306 = 315,306/x
  3. Step 3: Cross multiply
    148,256x = 315,306 × 315,306
  4. Step 4: Simplify right side
    148,256x = 99,417,873,636
  5. Step 5: Solve for x
    x = 99,417,873,636/148,256
  6. Step 6: Final answer
    x = 670,582.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.