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Finding the Third Proportional to 280,502 and 608,560

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Solution

The third proportional to 280,502 and 608,560 is: 1,320,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,502 : 608,560 = 608,560 : x
  2. Step 2: Convert to fraction form
    280,502/608,560 = 608,560/x
  3. Step 3: Cross multiply
    280,502x = 608,560 × 608,560
  4. Step 4: Simplify right side
    280,502x = 370,345,273,600
  5. Step 5: Solve for x
    x = 370,345,273,600/280,502
  6. Step 6: Final answer
    x = 1,320,294.59

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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.