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Finding the Third Proportional to 280,205 and 608,040

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Solution

The third proportional to 280,205 and 608,040 is: 1,319,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,205 : 608,040 = 608,040 : x
  2. Step 2: Convert to fraction form
    280,205/608,040 = 608,040/x
  3. Step 3: Cross multiply
    280,205x = 608,040 × 608,040
  4. Step 4: Simplify right side
    280,205x = 369,712,641,600
  5. Step 5: Solve for x
    x = 369,712,641,600/280,205
  6. Step 6: Final answer
    x = 1,319,436.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.