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Finding the Third Proportional to 311,904 and 608,040

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Solution

The third proportional to 311,904 and 608,040 is: 1,185,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,904 : 608,040 = 608,040 : x
  2. Step 2: Convert to fraction form
    311,904/608,040 = 608,040/x
  3. Step 3: Cross multiply
    311,904x = 608,040 × 608,040
  4. Step 4: Simplify right side
    311,904x = 369,712,641,600
  5. Step 5: Solve for x
    x = 369,712,641,600/311,904
  6. Step 6: Final answer
    x = 1,185,341.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.