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Finding the Third Proportional to 245,315 and 369,192

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Solution

The third proportional to 245,315 and 369,192 is: 555,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,315 : 369,192 = 369,192 : x
  2. Step 2: Convert to fraction form
    245,315/369,192 = 369,192/x
  3. Step 3: Cross multiply
    245,315x = 369,192 × 369,192
  4. Step 4: Simplify right side
    245,315x = 136,302,732,864
  5. Step 5: Solve for x
    x = 136,302,732,864/245,315
  6. Step 6: Final answer
    x = 555,623.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.