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Finding the Third Proportional to 245,655 and 368,820

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Solution

The third proportional to 245,655 and 368,820 is: 553,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,655 : 368,820 = 368,820 : x
  2. Step 2: Convert to fraction form
    245,655/368,820 = 368,820/x
  3. Step 3: Cross multiply
    245,655x = 368,820 × 368,820
  4. Step 4: Simplify right side
    245,655x = 136,028,192,400
  5. Step 5: Solve for x
    x = 136,028,192,400/245,655
  6. Step 6: Final answer
    x = 553,736.71

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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.