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Finding the Third Proportional to 280,454 and 608,230

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Solution

The third proportional to 280,454 and 608,230 is: 1,319,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,454 : 608,230 = 608,230 : x
  2. Step 2: Convert to fraction form
    280,454/608,230 = 608,230/x
  3. Step 3: Cross multiply
    280,454x = 608,230 × 608,230
  4. Step 4: Simplify right side
    280,454x = 369,943,732,900
  5. Step 5: Solve for x
    x = 369,943,732,900/280,454
  6. Step 6: Final answer
    x = 1,319,088.81

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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.